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