Answer
$\frac{6}{11}$
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.
$\frac{6y-18}{11y-33}=\frac{6(y-3)}{11(y-3)}=\frac{6(y-3)\div(y-3)}{11(y-3)\div(y-3)}=\frac{6}{11}$
