Solve for y: |3y+7|-10=-5
|3y+7|-10=-5
First, add 10 to both sides of the equation:
|3y+7| = 5
Now, we need to consider two cases:
Case 1: 3y+7 = 5
3y = -2
y = -2/3
Case 2: -(3y+7) = 5
-3y - 7 = 5
-3y = 12
y = -4
Therefore, the solution to the equation is y = -2/3 or y = -4.