8-5y-9y<92

I looked at your answer and I was very impressed with the quality of your explanation.

Thank you.      

Unfortunately you made a small error near the end.

You only multiplied one side by -1        

The answer should be y>-6

8 -5y -9y <92

Move the addends.

-5y -9y < 92 -8

Right distributive law gives:

(-5 -9) *y < 92 -8

Addition/subtraction gives:

-14y < 84

Multiply by (-1) and switch from less than symbol to greater than symbol.

(Because a<b ==> -a>-b)

14y > 84

Divide by 14 on both sides.

y > 6