## Algebra: A Combined Approach (4th Edition)

$\dfrac{-7}{y^{2}-3y+2}-\dfrac{2}{y-1}=-\dfrac{2y+3}{(y-2)(y-1)}$
$\dfrac{-7}{y^{2}-3y+2}-\dfrac{2}{y-1}$ Factor the denominator of the first fraction: $\dfrac{-7}{y^{2}-3y+2}-\dfrac{2}{y-1}=\dfrac{-7}{(y-2)(y-1)}-\dfrac{2}{y-1}=...$ Evaluate the substraction of the two rational expressions: $...=\dfrac{-7-2(y-2)}{(y-2)(y-1)}=\dfrac{-7-2y+4}{(y-2)(y-1)}=\dfrac{-2y-3}{(y-2)(y-1)}=...$ $...=-\dfrac{2y+3}{(y-2)(y-1)}$