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