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3x=12y-2y
Subtract 2y from both sides.
3x=10y
Combine 12y and -2y to get 10y.
\frac{3x}{3}=\frac{10y}{3}
Divide both sides by 3.
x=\frac{10y}{3}
Dividing by 3 undoes the multiplication by 3.
3x+2y-12y=0
Subtract 12y from both sides.
3x-10y=0
Combine 2y and -12y to get -10y.
-10y=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
\frac{-10y}{-10}=-\frac{3x}{-10}
Divide both sides by -10.
y=-\frac{3x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{3x}{10}
Divide -3x by -10.