Answer
$\frac{y-3}{y-2}$
Work Step by Step
To simplify, divide both the numerator and denominator by their greatest common factor.
Use factorization to find the GCF.
$\frac{2y^2-7y+3}{2y^2-5y+2}=\frac{(2y-1)(y-3)}{(2y-1)(y-2)}=\frac{(2y-1)(y-3)\div(2y-1)}{(2y-1)(y-2)\div(2y-1)}=\frac{y-3}{y-2}$
