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