Final answer:
To solve the given absolute value equation, isolate the absolute value term and split it into two cases: positive and negative. The solutions to the equation are y = 1 and y = -5.
Step-by-step explanation:
To solve the given absolute value equation, we need to isolate the absolute value term and then split it into two cases: positive and negative. Let's start by isolating the absolute value term:
3|y+2| - 9 = 0
3|y+2| = 9
|y+2| = 3
Now, we can split it into two cases:
Case 1: y+2 > 0
In this case, the equation becomes:
y+2 = 3
y = 1
Case 2: y+2 < 0
In this case, the equation becomes:
-(y+2) = 3
y+2 = -3
y = -5
Therefore, the solutions to the equation are y = 1 and y = -5.