Answer :

[tex]8x-9y=11 \\\\ -9y=11-8x \\\\ 9y=8x-11 \\\\ \boxed{y=\frac{8x-11}{9}}[/tex]
8x-9y=11

First you move the 8x because you have to leave the 9y alone

8x-9y=11
-8x        -8x

-9y=11-8x

Now you have to move the -9, so the inverse of multiplying is dividing so you divide -9.

-9y/-9= 11/-9 -8x/-9

since you can't have negative as a denominator it would be:

y= -11/9+8x/9

You have to change the signs