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\frac{-x}{2}-4=y
Swap sides so that all variable terms are on the left hand side.
\frac{-x}{2}=y+4
Add 4 to both sides.
-x=2y+8
Multiply both sides of the equation by 2.
\frac{-x}{-1}=\frac{2y+8}{-1}
Divide both sides by -1.
x=\frac{2y+8}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-2y-8
Divide 8+2y by -1.