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