由题意得:|x+y-4|+(x-y-2)2=0,则 x+y?4=0① x?y?2=0② ,①+②得:2x-6=0,即2x=6,解得:x=3,将x=3代入①得:3+y-4=0,即y=1,则3x-2y=9-2=7.故答案为:7.