Answer
1
Work Step by Step
Since we already have common denominators, we can add and simplify the numerators, combining like terms as needed:
$\frac{2y+1}{y-1} - \frac{y+2}{y-1} =\frac{(2y+1)-(y+2)}{y-1} = \frac{2y+1-y-2}{y-1} =\frac{2y-y+1-2}{y-1} = \frac{y-1}{y-1} = 1 $
