Answer: 6
Step-by-step explanation:
If the lines are parallel, then this means that by the corresponding angles theorem, the two angles marked in the image are congruent.
If we consider the right triangle, then by the exterior angle theorem, [tex]4x+90=11x-8 \longrightarrow x=14[/tex].
So, if [tex]x=14[/tex], then the indicated angle measures [tex]56^{\circ}[/tex], and since vertical angles are congruent, [tex]9y+2=56 \longrightarrow \boxed{y=6}[/tex]
