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3x=2y+4
The equation is in standard form.
\frac{3x}{3}=\frac{2y+4}{3}
Divide both sides by 3.
x=\frac{2y+4}{3}
Dividing by 3 undoes the multiplication by 3.
2y+4=3x
Swap sides so that all variable terms are on the left hand side.
2y=3x-4
Subtract 4 from both sides.
\frac{2y}{2}=\frac{3x-4}{2}
Divide both sides by 2.
y=\frac{3x-4}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{3x}{2}-2
Divide 3x-4 by 2.