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10x=3y
Add 3y to both sides. Anything plus zero gives itself.
\frac{10x}{10}=\frac{3y}{10}
Divide both sides by 10.
x=\frac{3y}{10}
Dividing by 10 undoes the multiplication by 10.
-3y=-10x
Subtract 10x from both sides. Anything subtracted from zero gives its negation.
\frac{-3y}{-3}=-\frac{10x}{-3}
Divide both sides by -3.
y=-\frac{10x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{10x}{3}
Divide -10x by -3.