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-3x+\frac{3}{2}=y
Swap sides so that all variable terms are on the left hand side.
-3x=y-\frac{3}{2}
Subtract \frac{3}{2} from both sides.
\frac{-3x}{-3}=\frac{y-\frac{3}{2}}{-3}
Divide both sides by -3.
x=\frac{y-\frac{3}{2}}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{y}{3}+\frac{1}{2}
Divide y-\frac{3}{2} by -3.