Question

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

Answer 1

y = 13/5 y = -1/5

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