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9x=3y
Add 3y to both sides. Anything plus zero gives itself.
\frac{9x}{9}=\frac{3y}{9}
Divide both sides by 9.
x=\frac{3y}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{y}{3}
Divide 3y by 9.
-3y=-9x
Subtract 9x from both sides. Anything subtracted from zero gives its negation.
\frac{-3y}{-3}=-\frac{9x}{-3}
Divide both sides by -3.
y=-\frac{9x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=3x
Divide -9x by -3.