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-4x-8=y
Swap sides so that all variable terms are on the left hand side.
-4x=y+8
Add 8 to both sides.
\frac{-4x}{-4}=\frac{y+8}{-4}
Divide both sides by -4.
x=\frac{y+8}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{4}-2
Divide y+8 by -4.