Solution of 4 |2y-3| - 1 = 11 step by step

y = 0, 3

Step-by-step explanation:

1) Add 1 to both sides.

4 ∣ 2y - 3 ∣ = 11 + 1

2) Simplify 11+1 to 12.

4 ∣ 2y - 3∣ = 12

3) Divide both sides by 4.

∣ 2y - 3∣ = 12 / 4

4) Simplify 12/4 to 3.

∣ 2y - 3 ∣ = 3

5) Break down the problem into these 2 equations.

2y - 3 = 3

- (2y - 3) - 3

6) Solve the 1st equation: 2y - 3 = 3

y = 3

7) Solve the 2nd equation: - (2y - 3) - 3

y = 0

8) Collect all solutions.

y = 0, 3