What is the answer to |y-4|+5=15 ?

The answer to |y-4|+5=15 is y=-6\lor y=14

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|y-4|+5=15

∣ y - 4 ∣ + 5 = 15

y = - 6 or y = 14

Solution steps

∣ y - 4 ∣ + 5 = 15

Move

5

to the right side

∣ y - 4 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 4 = - 10 or y - 4 = 10

y - 4 = - 10 or y - 4 = 10

y = - 6 or y = 14

- \frac{∣ p ∣}{5} + 8 = 3

∣ x - 4 ∣ = 31

∣ 7 y - 6 ∣ = 11

9 - 2 ∣ x + 4 ∣ = 4

6 - x^{2} = ∣ x ∣