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\frac{35y+7-\left(8y-8\right)}{9y+5}
Since \frac{35y+7}{9y+5} and \frac{8y-8}{9y+5} have the same denominator, subtract them by subtracting their numerators.
\frac{35y+7-8y+8}{9y+5}
Do the multiplications in 35y+7-\left(8y-8\right).
\frac{27y+15}{9y+5}
Combine like terms in 35y+7-8y+8.
\frac{3\left(9y+5\right)}{9y+5}
Factor the expressions that are not already factored in \frac{27y+15}{9y+5}.
3
Cancel out 9y+5 in both numerator and denominator.
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