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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.