Answer
$\frac{2}{y+2}$
Work Step by Step
Since we already have common denominators, we can add and simplify the numerators:
$\frac{9}{2y+4} - \frac{5}{2y+4} =\frac{9-5}{2y+4} = \frac{4}{2y+4}$
Now we can reduce the fraction by factoring out 2 from the denominator and dividing:
$ \frac{4}{2y+4} = \frac{4}{2(y+2)} = \frac{2}{y+2} $
