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x+5=y
Add y to both sides. Anything plus zero gives itself.
x=y-5
Subtract 5 from both sides.
-y+5=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
-y=-x-5
Subtract 5 from both sides.
\frac{-y}{-1}=\frac{-x-5}{-1}
Divide both sides by -1.
y=\frac{-x-5}{-1}
Dividing by -1 undoes the multiplication by -1.
y=x+5
Divide -x-5 by -1.