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9-3x=-6y
Swap sides so that all variable terms are on the left hand side.
-3x=-6y-9
Subtract 9 from both sides.
\frac{-3x}{-3}=\frac{-6y-9}{-3}
Divide both sides by -3.
x=\frac{-6y-9}{-3}
Dividing by -3 undoes the multiplication by -3.
x=2y+3
Divide -6y-9 by -3.
-6y=9-3x
The equation is in standard form.
\frac{-6y}{-6}=\frac{9-3x}{-6}
Divide both sides by -6.
y=\frac{9-3x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{x-3}{2}
Divide 9-3x by -6.