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-x+5=-y
Subtract 1y from both sides. Anything subtracted from zero gives its negation.
-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=y+5
Divide -y-5 by -1.
1y+5=x
Add x to both sides. Anything plus zero gives itself.
1y=x-5
Subtract 5 from both sides.
y=x-5
Reorder the terms.