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2x+12=3y
Add 3y to both sides. Anything plus zero gives itself.
2x=3y-12
Subtract 12 from both sides.
\frac{2x}{2}=\frac{3y-12}{2}
Divide both sides by 2.
x=\frac{3y-12}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{3y}{2}-6
Divide -12+3y by 2.
-3y+12=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-3y=-2x-12
Subtract 12 from both sides.
\frac{-3y}{-3}=\frac{-2x-12}{-3}
Divide both sides by -3.
y=\frac{-2x-12}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{2x}{3}+4
Divide -2x-12 by -3.