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5x=90y
Multiply both sides of the equation by 6y.
\frac{5x}{5}=\frac{90y}{5}
Divide both sides by 5.
x=\frac{90y}{5}
Dividing by 5 undoes the multiplication by 5.
x=18y
Divide 90y by 5.
5x=90y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6y.
90y=5x
Swap sides so that all variable terms are on the left hand side.
\frac{90y}{90}=\frac{5x}{90}
Divide both sides by 90.
y=\frac{5x}{90}
Dividing by 90 undoes the multiplication by 90.
y=\frac{x}{18}
Divide 5x by 90.
y=\frac{x}{18}\text{, }y\neq 0
Variable y cannot be equal to 0.