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