What is the answer to |y+1|-5=8 ?

The answer to |y+1|-5=8 is y=-14\lor y=12

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|y+1|-5=8

∣ y + 1 ∣ - 5 = 8

y = - 14 or y = 12

Solution steps

∣ y + 1 ∣ - 5 = 8

Move

5

to the right side

∣ y + 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 1 = - 13 or y + 1 = 13

y + 1 = - 13 or y + 1 = 13

y = - 14 or y = 12

∣ - 3 z - 4 ∣ = 17

∣ g - 4 ∣ = - 14

∣ x - 20 ∣ = 4646

∣ 2 - x ∣ = 2

x^{2} - 7 x + 8 = 2