Question 43104
We first wish to isolate the absolute value...so we get
27 < 4|y + 9| - 9
36 < 4|y + 9|
9 < |y + 9| or
|y + 9| > 9
Now we break this up into two separate inequalities...one is exactly the way you see it without the absolute value sign and the second one you reverse both the inequality sign and the sign of the right hand side...so we have...
y + 9 > 9  and  y + 9 < -9 and then
y > 0  and  y < -18