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-x=y-5
Subtract 5 from both sides.
\frac{-x}{-1}=\frac{y-5}{-1}
Divide both sides by -1.
x=\frac{y-5}{-1}
Dividing by -1 undoes the multiplication by -1.
x=5-y
Divide y-5 by -1.
y=5-x
Swap sides so that all variable terms are on the left hand side.