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