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y=-3x
Anything plus zero gives itself.
-3x=y
Swap sides so that all variable terms are on the left hand side.
\frac{-3x}{-3}=\frac{y}{-3}
Divide both sides by -3.
x=\frac{y}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{y}{3}
Divide y by -3.
y=-3x
Anything plus zero gives itself.