You outplayed the 6k on technical, tactical and strategical level. I don't know if that's enough for an epiphany but I'd say, continue to walk that path.
All the goodies mentioned in the comments aside, I have one major remark and a few exercises for you in this game.
Major remark:

Keep playing simple moves when ahead (see comments)
Exercises:

Black to stay connected

White to live
Solutions later, if you decided to solve those and post them here.
(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2]
RU[Japanese]SZ[19]KM[6.50]TM[900]OT[5x20 byo-yomi]
PW[toyama]PB[hl782]WR[6k]BR[7k]DT[2015-08-03]PC[The KGS Go Server at
http://www.gokgs.com/]RE[B+Resign]
;B[pd]BL[898.579]C[hl782 [7k\]: hi gg
toyama [6k\]: hi
toyama [6k\]: gg
]
;W[pq]WL[886.05]
;B[cd]BL[896.558]
;W[cp]WL[883.173]
;B[ic]BL[875.721]
;W[qf]WL[879.32]
;B[nd]BL[872.162]
;W[pi]WL[876.303]
;B[po]BL[837.906]
;W[mp]WL[870.762]
;B[qq]BL[813.69]
;W[qr]WL[861.506]
;B[qp]BL[812.701]
;W[or]WL[858.856]
;B[qk]BL[808.694]
;W[qn]WL[855.796]
;B[pn]BL[780.59]
;W[qm]WL[847.899]
;B[pm]BL[720.707]
;W[ql]WL[842.811]
;B[pl]BL[718.3]
(;W[rk]WL[841.056]LB[qn:A]C[KW: white should have seen this coming. If you play this painful move, you shoulnd't invade at A]
;B[qj]BL[690.961]C[KW: great result for black to separate the white stones from close range.]
;W[rj]WL[838.753]
;B[qi]BL[680.017]TR[pi][rj]C[KW: such broken shapes make Black happy]
;W[ro]WL[836.175]
(;B[oj]BL[676.223]C[There's a more stylish way to link up]
;W[ph]WL[833.846]
;B[ep]BL[618.95]
;W[iq]WL[804.966]
;B[co]BL[592.394]
;W[bo]WL[800.414]
;B[do]BL[589.176]
;W[dr]WL[798.018]
;B[bn]BL[581.553]C[KW: good]
;W[bp]WL[795.454]
;B[cm]BL[580.206]C[KW: with this opening, Black has an easy game ahead]
;W[fq]WL[792.763]
;B[dj]BL[571.203]LB[ed:A][dg:B]C[KW: is a bit too close to thickness. A or B come to mind]
;W[fd]WL[780.13]
;B[ec]BL[538.582]
;W[fc]WL[776.281]
;B[ed]BL[530.182]
;W[fe]WL[766.811]
;B[dg]BL[524.958]C[KW: still ideal for Black]
;W[fg]WL[762.997]
;B[ie]BL[522.276]
;W[jd]WL[758.841]
;B[id]BL[511.105]
;W[ld]WL[756.658]
;B[hg]BL[448.697]C[KW: very very good move]
;W[fi]WL[752.839]
;B[eh]BL[441.251]
;W[fh]WL[748.603]
;B[hi]BL[439.149]
;W[kf]WL[740.273]
;B[kh]BL[435.625]C[KW: another great attacking move]
;W[fk]WL[737.22]
;B[hk]BL[426.59]
;W[ih]WL[722.484]
(;B[jg]BL[382.809]C[KW: You were playing good and simple moves and IMO you should still continue with that. See var]
;W[hh]WL[719.736]LB[mg:A]C[KW: now White becomes strong and Black only has one option left for attack]
;B[mg]BL[333.89]
;W[me]WL[714.654]
;B[ne]BL[328.935]
;W[mf]WL[711.784]
;B[nf]BL[326.255]
;W[lg]WL[710.398]
;B[lh]BL[323.583]
;W[jc]WL[706.853]
;B[jb]BL[309.781]
;W[kb]WL[704.191]
;B[ib]BL[308.339]
;W[mc]WL[701.942]
;B[qd]BL[302.044]
;W[ng]WL[698.038]
;B[mh]BL[299.297]
;W[og]WL[695.284]
;B[ri]BL[296.686]
;W[re]WL[689.746]
;B[rd]BL[288.071]
;W[rg]WL[688.312]
;B[pf]BL[284.933]C[KW: very good L&D skills]
;W[pg]WL[685.369]
;B[qh]BL[282.087]
;W[qg]WL[677.07]
;B[nj]BL[257.595]
;W[jf]WL[669.194]C[Exercise 1: Black to stay connected]
;B[if]BL[175.474]
;W[ig]WL[666.024]
;B[gh]BL[173.213]
;W[gg]WL[660.331]
;B[nc]BL[164.18]
;W[mb]WL[654.991]
;B[ka]BL[159.761]
;W[lb]WL[648.523]
;B[kc]BL[139.505]
;W[kd]WL[645.784]
;B[lf]BL[133.704]C[Exercise 2: White to live]
;W[le]WL[638.368]
;B[je]BL[129.287]
;W[nb]WL[611.272]
;B[ob]BL[122.502]
;W[la]WL[608.312]
;B[na]BL[119.088]C[KW: nice]
;W[ja]WL[605.901]
;B[kg]BL[116.639]
;W[lf]WL[603.172]
;B[ia]BL[111.544]
;W[hf]WL[601.065]
;B[md]BL[106.94]
;W[he]WL[595.94]
;B[ke]BL[102.123]
;W[lc]WL[591.899]
;B[oa]BL[99.798]
;W[hd]WL[589.183]
;B[ma]BL[98.275]
;W[hc]WL[585.664]
;B[ka]BL[96.38]
;W[dl]WL[569.377]
;B[kc]BL[93.881]
;W[cl]WL[566.291]
;B[dm]BL[82.486]
;W[bl]WL[562.626]
;B[gn]BL[73.883]
;W[fm]WL[559.989]
;B[fn]BL[71.745]
;W[em]WL[557.023]
;B[en]BL[69.935]
;W[bm]WL[552.715]
;B[gm]BL[66.736]
;W[cn]WL[549.375]
;B[im]BL[63.405]C[KW: Calm and easy. Game over. End of comments.]
;W[dn]WL[542.985]
;B[ii]BL[51.797]
;W[ji]WL[540.846]
;B[jh]BL[50.488]
;W[hg]WL[540.005]
;B[jj]BL[48.575]
;W[gi]WL[537.156]
;B[mn]BL[46.164]
;W[jo]WL[531.769]
;B[kn]BL[43.835]
;W[de]WL[514.628]
;B[bf]BL[13.004]
;W[df]WL[511.588]
;B[cf]BL[20]OB[4]
;W[ei]WL[506.369]
;B[di]BL[20]OB[4]
;W[eg]WL[503.326]
;B[dh]BL[20]OB[4]
;W[rp]WL[497.41]
;B[rq]BL[20]OB[4]
;W[sl]WL[493.623]
;B[cc]BL[20]OB[4]
;W[fb]WL[490.699]
;B[eb]BL[20]OB[4]
;W[bi]WL[487.891]
;B[ko]BL[20]OB[4]
;W[kp]WL[485.061]
;B[lp]BL[20]OB[4]
;W[lq]WL[483.095]
;B[jp]BL[20]OB[4]
;W[lo]WL[481.802]
;B[io]BL[20]OB[4]
;W[jq]WL[479.985]
;B[ip]BL[20]OB[4]
;W[hp]WL[476.902]
;B[ho]BL[20]OB[4]
;W[gp]WL[474.566]
;B[go]BL[20]OB[4]
;W[bh]WL[460.611]
;B[cg]BL[20]OB[4]
;W[ce]WL[448.352]
;B[be]BL[20]OB[4]
;W[dd]WL[447.357]
;B[dc]BL[20]OB[4]
;W[rr]WL[441.478]
;B[sq]BL[20]OB[4]
;W[ln]WL[436.351]
;B[lm]BL[20]OB[4]
;W[km]WL[434.343]
;B[jn]BL[20]OB[4]
;W[mm]WL[432.968]
;B[ll]BL[20]OB[4]
;W[on]WL[430.142]
;B[nm]BL[20]OB[4]
;W[nn]WL[427.615]
;B[ml]BL[20]OB[4]
;W[mo]WL[426.269]
;B[om]BL[20]OB[4]
;W[op]WL[424.168]
;B[sp]BL[20]OB[4]
;W[so]WL[422.088]
;B[sj]BL[20]OB[4]
;W[rm]WL[418.593]
;B[oo]BL[20]OB[4]
;W[no]WL[415.696]
;B[eq]BL[20]OB[4]
;W[er]WL[413.316]
;B[fa]BL[20]OB[4]
;W[ga]WL[409.064]
;B[ea]BL[20]OB[4]
;W[hb]WL[407.566]
;B[ha]BL[20]OB[4]
;W[gb]WL[404.741]
;B[ee]BL[20]OB[3]
;W[ef]WL[398.762]
;B[ek]BL[20]OB[3]
;W[gk]WL[397.073]
;B[ik]BL[20]OB[3]
;W[gl]WL[394.901]
;B[hl]BL[20]OB[3]
;W[cj]WL[373.651]
;B[el]BL[20]OB[3]
;W[dm]WL[366.839]
;B[ag]BL[20]OB[3]
;W[bg]WL[363.036]
;B[ci]BL[20]OB[3]
;W[dk]WL[351.72]
;B[ej]BL[20]OB[3]
;W[af]WL[339.803]
;B[ae]BL[20]OB[3]
;W[bj]WL[333.577]
;B[bd]BL[20]OB[3]
;W[dq]WL[321.474]
;B[fp]BL[20]OB[3]
;W[gq]WL[318.975]
;B[sr]BL[20]OB[3]
;W[pp]WL[313.187]
;B[qo]BL[20]OB[3]
;W[mm]WL[301.433]
;B[pj]BL[20]OB[3]
;W[sf]WL[288.434]
;B[sh]BL[20]OB[3]
;W[ah]WL[263.656]
;B[af]BL[20]OB[3]
;W[dp]WL[255.231]
;B[eo]BL[20]OB[3]C[hl782 [7k\]: thank you gg
toyama [6k\]: thx
])
(;B[hh]LB[mg:B][gm:A]C[The black group is strong and it is White who will be under attack]))
(;B[ph]
;W[pk]
;B[ok]
;W[pj]
;B[oi]))
(;W[pk]C[Fighting spirit alone should urge White to cut here]
;B[rk]
;W[qj]
;B[ok]
;W[pj]
;B[rj]
;W[ri]
;B[rl]C[It's not a great result for White but the game is worse]))