1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=

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1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=1/2x+﹙-3/2

1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=
1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=

1/2x+(-3/2x+1/3y2)-(2x-2/3y2)=
1/2x+﹙-3/2x+1/3y²﹚－﹙2x-2/3y²﹚
=(1/2)x -(3/2)x + (1/3)y² －2x +(2/3)y²
=-3x+y²