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9x=8+10y
Add 10y to both sides.
9x=10y+8
The equation is in standard form.
\frac{9x}{9}=\frac{10y+8}{9}
Divide both sides by 9.
x=\frac{10y+8}{9}
Dividing by 9 undoes the multiplication by 9.
-10y=8-9x
Subtract 9x from both sides.
\frac{-10y}{-10}=\frac{8-9x}{-10}
Divide both sides by -10.
y=\frac{8-9x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{9x}{10}-\frac{4}{5}
Divide 8-9x by -10.