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-10x=5y
Add 5y to both sides. Anything plus zero gives itself.
\frac{-10x}{-10}=\frac{5y}{-10}
Divide both sides by -10.
x=\frac{5y}{-10}
Dividing by -10 undoes the multiplication by -10.
x=-\frac{y}{2}
Divide 5y by -10.
-5y=10x
Add 10x to both sides. Anything plus zero gives itself.
\frac{-5y}{-5}=\frac{10x}{-5}
Divide both sides by -5.
y=\frac{10x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=-2x
Divide 10x by -5.