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4x-12=3y
Swap sides so that all variable terms are on the left hand side.
4x=3y+12
Add 12 to both sides.
\frac{4x}{4}=\frac{3y+12}{4}
Divide both sides by 4.
x=\frac{3y+12}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3y}{4}+3
Divide 12+3y by 4.
3y=4x-12
The equation is in standard form.
\frac{3y}{3}=\frac{4x-12}{3}
Divide both sides by 3.
y=\frac{4x-12}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{4x}{3}-4
Divide -12+4x by 3.