What is the answer to 5+9|y+5|=32 ?

The answer to 5+9|y+5|=32 is y=-8\lor y=-2

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5+9|y+5|=32

5 + 9 ∣ y + 5 ∣ = 32

y = - 8 or y = - 2

Solution steps

5 + 9 ∣ y + 5 ∣ = 32

Move

5

to the right side

9 ∣ y + 5 ∣ = 27

Divide both sides by

9

∣ y + 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 5 = - 3 or y + 5 = 3

y + 5 = - 3 or y + 5 = 3

y = - 8 or y = - 2

15 = ∣ t + 5 ∣ + 6

14 = ∣ w ∣ + 1

10 = ∣ m - 5 ∣

∣ 2 - x ∣ = 2 - (x - 1)^{(2)}

2 ∣ 7 x ∣ + 5 = 17