Answer
$y=-\frac{16}{9}x-\frac{8}{3}$
when $x=-6$ then
$y=8$
Work Step by Step
$16x+9y=-24$
$9y=-16x-24$
$y=-\frac{16}{9}x-\frac{24}{9}=-\frac{16}{9}-\frac{8}{3}$
when $x=-6$
$y=-\frac{16}{9}\times(-6)-\frac{8}{3}=\frac{32}{3}-\frac{8}{3}=\frac{24}{3}$
$y=8$