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3x=7y
Add 7y to both sides. Anything plus zero gives itself.
\frac{3x}{3}=\frac{7y}{3}
Divide both sides by 3.
x=\frac{7y}{3}
Dividing by 3 undoes the multiplication by 3.
-7y=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
\frac{-7y}{-7}=-\frac{3x}{-7}
Divide both sides by -7.
y=-\frac{3x}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{3x}{7}
Divide -3x by -7.