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\frac{x}{7}=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{7}x=y
The equation is in standard form.
\frac{\frac{1}{7}x}{\frac{1}{7}}=\frac{y}{\frac{1}{7}}
Multiply both sides by 7.
x=\frac{y}{\frac{1}{7}}
Dividing by \frac{1}{7} undoes the multiplication by \frac{1}{7}.
x=7y
Divide y by \frac{1}{7} by multiplying y by the reciprocal of \frac{1}{7}.