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10x=-10y
The equation is in standard form.
\frac{10x}{10}=-\frac{10y}{10}
Divide both sides by 10.
x=-\frac{10y}{10}
Dividing by 10 undoes the multiplication by 10.
x=-y
Divide -10y by 10.
-10y=10x
Swap sides so that all variable terms are on the left hand side.
\frac{-10y}{-10}=\frac{10x}{-10}
Divide both sides by -10.
y=\frac{10x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=-x
Divide 10x by -10.