What is the answer to |8+y|=2y-3 ?

The answer to |8+y|=2y-3 is y=11

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|8+y|=2y-3

∣ 8 + y ∣ = 2 y - 3

y = 11

Solution steps

∣ 8 + y ∣ = 2 y - 3

Find positive and negative intervals

y < - 8, y \geq - 8

Solve the inequality for each interval

No Solution or y = 11

y = 11

∣ x + 1 ∣ = 4 x

6 - 7 ∣ 4 x - 2 ∣ = - 22

∣ 3 (x + 1) ∣ = x + 4

∣ 5 x - 1 ∣ = 21

3 x = x^{2} - 10