What is the answer to |y-5|+14=27 ?

The answer to |y-5|+14=27 is y=-8\lor y=18

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|y-5|+14=27

∣ y - 5 ∣ + 14 = 27

y = - 8 or y = 18

Solution steps

∣ y - 5 ∣ + 14 = 27

Move

14

to the right side

∣ y - 5 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 5 = - 13 or y - 5 = 13

y - 5 = - 13 or y - 5 = 13

y = - 8 or y = 18

∣ 2 x - 9 ∣ = 3 x + 1

b (x) = - ∣ x - 3 ∣ + 2

- 2 ∣ z ∣ = 6

x^{2} + 8 x + 1 = ∣ x + 6 ∣ + 6

∣ x + 4 ∣ = - 1