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