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x-y=\frac{8}{9}
Divide both sides by 9.
x=\frac{8}{9}+y
Add y to both sides.
x-y=\frac{8}{9}
Divide both sides by 9.
-y=\frac{8}{9}-x
Subtract x from both sides.
\frac{-y}{-1}=\frac{\frac{8}{9}-x}{-1}
Divide both sides by -1.
y=\frac{\frac{8}{9}-x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=x-\frac{8}{9}
Divide \frac{8}{9}-x by -1.