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\frac{2}{7}x-1=y
Swap sides so that all variable terms are on the left hand side.
\frac{2}{7}x=y+1
Add 1 to both sides.
\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{y+1}{\frac{2}{7}}
Divide both sides of the equation by \frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+1}{\frac{2}{7}}
Dividing by \frac{2}{7} undoes the multiplication by \frac{2}{7}.
x=\frac{7y+7}{2}
Divide y+1 by \frac{2}{7} by multiplying y+1 by the reciprocal of \frac{2}{7}.