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x-2y=\frac{2}{3}
Divide both sides by 3.
x=\frac{2}{3}+2y
Add 2y to both sides.
x-2y=\frac{2}{3}
Divide both sides by 3.
-2y=\frac{2}{3}-x
Subtract x from both sides.
\frac{-2y}{-2}=\frac{\frac{2}{3}-x}{-2}
Divide both sides by -2.
y=\frac{\frac{2}{3}-x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x}{2}-\frac{1}{3}
Divide \frac{2}{3}-x by -2.