What is the answer to 2|y-4|+5=27 ?

The answer to 2|y-4|+5=27 is y=-7\lor y=15

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2|y-4|+5=27

2 ∣ y - 4 ∣ + 5 = 27

y = - 7 or y = 15

Solution steps

2 ∣ y - 4 ∣ + 5 = 27

Move

5

to the right side

2 ∣ y - 4 ∣ = 22

Divide both sides by

2

∣ y - 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 4 = - 11 or y - 4 = 11

y - 4 = - 11 or y - 4 = 11

y = - 7 or y = 15

x^{2} + 3 x - 18 - x = 0

- 5 \frac{n}{8} = - 5

2 ∣ x + 2 ∣ = 0

∣ x - 20.9 ∣ = - 5.3

∣ 9 - x ∣ = 4