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3x=2+3y
Add 3y to both sides.
3x=3y+2
The equation is in standard form.
\frac{3x}{3}=\frac{3y+2}{3}
Divide both sides by 3.
x=\frac{3y+2}{3}
Dividing by 3 undoes the multiplication by 3.
x=y+\frac{2}{3}
Divide 2+3y by 3.
-3y=2-3x
Subtract 3x from both sides.
\frac{-3y}{-3}=\frac{2-3x}{-3}
Divide both sides by -3.
y=\frac{2-3x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=x-\frac{2}{3}
Divide 2-3x by -3.