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13x=8y
Add 8y to both sides. Anything plus zero gives itself.
\frac{13x}{13}=\frac{8y}{13}
Divide both sides by 13.
x=\frac{8y}{13}
Dividing by 13 undoes the multiplication by 13.
-8y=-13x
Subtract 13x from both sides. Anything subtracted from zero gives its negation.
\frac{-8y}{-8}=-\frac{13x}{-8}
Divide both sides by -8.
y=-\frac{13x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{13x}{8}
Divide -13x by -8.