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