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-4x=12-y
The equation is in standard form.
\frac{-4x}{-4}=\frac{12-y}{-4}
Divide both sides by -4.
x=\frac{12-y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{y}{4}-3
Divide -y+12 by -4.
-y+12=-4x
Swap sides so that all variable terms are on the left hand side.
-y=-4x-12
Subtract 12 from both sides.
\frac{-y}{-1}=\frac{-4x-12}{-1}
Divide both sides by -1.
y=\frac{-4x-12}{-1}
Dividing by -1 undoes the multiplication by -1.
y=4x+12
Divide -4x-12 by -1.