What is the solution for 4|5y-6|-2 = 26

y = 13/5 y = - 1/5

Step-by-step explanation:

4|5y-6|-2 = 26

Add 2 to each side

4|5y-6|-2+2 = 26+2

4|5y-6| = 28

Divide by 4

4|5y-6|/4 = 28/4

|5y-6| = 7

There is a positive and a negative solution to the absolute value

5y-6 = 7 and 5y-6 = -7

Add 6 to each side

5y-6+6 = 7+6 5y-6+6 = -7+6

5y = 13 5y = - 1

Divide by 5

5y/5 = 13/5 5y/5 = - 1/5

y = 13/5 y = - 1/5