Question

Solve the following absolute val 5|y+1|-40=0

Answer 1

To solve the equation 5|y+1|-40=0, isolate the absolute value, consider both cases (positive and negative), and solve for y to obtain two solutions: y = 7 and y = -9.

Step-by-step explanation:

To solve the equation 5|y+1|-40=0, let's first isolate the absolute value expression:

1. Add 40 to both sides to get 5|y+1| = 40.
2. Divide both sides by 5 to get |y+1| = 8.
3. Now, solve for y by considering the two cases for the absolute value:
   

Therefore, the solutions for the given equation are y = 7 and y = -9.