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\frac{12y-\left(8y-9\right)}{4y+9}
Since \frac{12y}{4y+9} and \frac{8y-9}{4y+9} have the same denominator, subtract them by subtracting their numerators.
\frac{12y-8y+9}{4y+9}
Do the multiplications in 12y-\left(8y-9\right).
\frac{4y+9}{4y+9}
Combine like terms in 12y-8y+9.
1
Cancel out 4y+9 in both numerator and denominator.
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