Question 8826
Yes, I'm afraid so! You did fine up to and including the fourth step of your solution, where you arrived at: 

5y-10+10 = (-24+10)+19y  But -24 + 10 = -14, not 14 which is what you show.

So, let's continue from there:

5y = -14 + 19y  
5y-19y = -14
-14y = -14
y = 1

Check:

5(y-2) = -2(12-9y)+y
5(1-2) = -2(12-9(1))+1
5(-1) = -2(3)+ 1
-5 = -6+1
-5 = -5  Check is ok.