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-x+8=y
Swap sides so that all variable terms are on the left hand side.
-x=y-8
Subtract 8 from 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=8-y
Divide y-8 by -1.