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4x=-4y-4
Subtract 4 from both sides.
\frac{4x}{4}=\frac{-4y-4}{4}
Divide both sides by 4.
x=\frac{-4y-4}{4}
Dividing by 4 undoes the multiplication by 4.
x=-y-1
Divide -4y-4 by 4.
-4y=4x+4
Swap sides so that all variable terms are on the left hand side.
\frac{-4y}{-4}=\frac{4x+4}{-4}
Divide both sides by -4.
y=\frac{4x+4}{-4}
Dividing by -4 undoes the multiplication by -4.
y=-\left(x+1\right)
Divide 4+4x by -4.