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-9y=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
\frac{-9y}{-9}=-\frac{x}{-9}
Divide both sides by -9.
y=-\frac{x}{-9}
Dividing by -9 undoes the multiplication by -9.
y=\frac{x}{9}
Divide -x by -9.
x=9y
Add 9y to both sides. Anything plus zero gives itself.