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13x=7y
Multiply both sides of the equation by y.
\frac{13x}{13}=\frac{7y}{13}
Divide both sides by 13.
x=\frac{7y}{13}
Dividing by 13 undoes the multiplication by 13.
13x=7y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.
7y=13x
Swap sides so that all variable terms are on the left hand side.
\frac{7y}{7}=\frac{13x}{7}
Divide both sides by 7.
y=\frac{13x}{7}
Dividing by 7 undoes the multiplication by 7.
y=\frac{13x}{7}\text{, }y\neq 0
Variable y cannot be equal to 0.