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