To factor $ yz+9z-2y-18 $ we can use factoring by grouping.
Group $ \color{blue}{ yz }$ with $ \color{blue}{ 9z }$ and $ \color{red}{ -2y }$ with $ \color{red}{ -18 }$ then factor each group.
$$ \begin{aligned} yz+9z-2y-18 &= ( \color{blue}{ yz+9z } ) + ( \color{red}{ -2y-18 }) = \\ &= \color{blue}{ z( y+9 )} \color{red}{ -2( y+9 ) } = \\ &= (z-2)(y+9) \end{aligned} $$