Answer
$\frac{2}{3}$
Work Step by Step
To simplify, divide both the numerator and denominator by their greatest common factor.
Use the the distributive property to find the GCF.
$\frac{2y-10}{3y-15}=\frac{2(y-5)}{3(y-5)}=\frac{2(y-5)\div(y-5)}{3(y-5)\div(y-5)}=\frac{2}{3}$