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\frac{3}{4}x-\frac{7}{8}=y
Swap sides so that all variable terms are on the left hand side.
\frac{3}{4}x=y+\frac{7}{8}
Add \frac{7}{8} to both sides.
\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{y+\frac{7}{8}}{\frac{3}{4}}
Divide both sides of the equation by \frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+\frac{7}{8}}{\frac{3}{4}}
Dividing by \frac{3}{4} undoes the multiplication by \frac{3}{4}.
x=\frac{4y}{3}+\frac{7}{6}
Divide y+\frac{7}{8} by \frac{3}{4} by multiplying y+\frac{7}{8} by the reciprocal of \frac{3}{4}.