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9x=8-13y
Subtract 13y from both sides.
\frac{9x}{9}=\frac{8-13y}{9}
Divide both sides by 9.
x=\frac{8-13y}{9}
Dividing by 9 undoes the multiplication by 9.
13y=8-9x
Subtract 9x from both sides.
\frac{13y}{13}=\frac{8-9x}{13}
Divide both sides by 13.
y=\frac{8-9x}{13}
Dividing by 13 undoes the multiplication by 13.