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7y+\frac{29}{8}=x
Swap sides so that all variable terms are on the left hand side.
7y=x-\frac{29}{8}
Subtract \frac{29}{8} from both sides.
\frac{7y}{7}=\frac{x-\frac{29}{8}}{7}
Divide both sides by 7.
y=\frac{x-\frac{29}{8}}{7}
Dividing by 7 undoes the multiplication by 7.
y=\frac{x}{7}-\frac{29}{56}
Divide x-\frac{29}{8} by 7.