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-2x+9=3y
Swap sides so that all variable terms are on the left hand side.
-2x=3y-9
Subtract 9 from both sides.
\frac{-2x}{-2}=\frac{3y-9}{-2}
Divide both sides by -2.
x=\frac{3y-9}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{9-3y}{2}
Divide -9+3y by -2.
3y=9-2x
The equation is in standard form.
\frac{3y}{3}=\frac{9-2x}{3}
Divide both sides by 3.
y=\frac{9-2x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{2x}{3}+3
Divide -2x+9 by 3.