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-x=4y
Multiply both sides of the equation by 2y.
\frac{-x}{-1}=\frac{4y}{-1}
Divide both sides by -1.
x=\frac{4y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-4y
Divide 4y by -1.
-x=4y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2y.
4y=-x
Swap sides so that all variable terms are on the left hand side.
\frac{4y}{4}=-\frac{x}{4}
Divide both sides by 4.
y=-\frac{x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{x}{4}\text{, }y\neq 0
Variable y cannot be equal to 0.