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-9x=8y
Add 8y to both sides. Anything plus zero gives itself.
\frac{-9x}{-9}=\frac{8y}{-9}
Divide both sides by -9.
x=\frac{8y}{-9}
Dividing by -9 undoes the multiplication by -9.
x=-\frac{8y}{9}
Divide 8y by -9.
-8y=9x
Add 9x to both sides. Anything plus zero gives itself.
\frac{-8y}{-8}=\frac{9x}{-8}
Divide both sides by -8.
y=\frac{9x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=-\frac{9x}{8}
Divide 9x by -8.