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2x-3=3y
Swap sides so that all variable terms are on the left hand side.
2x=3y+3
Add 3 to both sides.
\frac{2x}{2}=\frac{3y+3}{2}
Divide both sides by 2.
x=\frac{3y+3}{2}
Dividing by 2 undoes the multiplication by 2.
3y=2x-3
The equation is in standard form.
\frac{3y}{3}=\frac{2x-3}{3}
Divide both sides by 3.
y=\frac{2x-3}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{2x}{3}-1
Divide 2x-3 by 3.