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