#### Answer

$y=-4$

#### Work Step by Step

Subtract $8y$ and subtract $9$ on both sides, and then combine like terms to obtain:
$-3-9=11y-8y
\\ -12=3y$
Divide by 3 on both sides to obtain:
$\dfrac{-12}{3}=y
\\-4=y$
Check:
$\begin{array}{ccc}
&8(-4)-3&=&11(-4)+9
\\&-32-3 &= &-44+9
\\&-35&=&-35\end{array}$