What is the answer to 3|y+6|=30 ?

The answer to 3|y+6|=30 is y=-16\lor y=4

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3|y+6|=30

3 ∣ y + 6 ∣ = 30

y = - 16 or y = 4

Solution steps

3 ∣ y + 6 ∣ = 30

Divide both sides by

3

∣ y + 6 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 6 = - 10 or y + 6 = 10

y + 6 = - 10 or y + 6 = 10

y = - 16 or y = 4

2 ∣ x + 5 ∣ = 2

3 + 2 ∣ x - 6 ∣ = 11

∣ 5 - x ∣ + 3 = 8

∣ 5 c - 6 ∣ = 31

∣ 5 x - 6 ∣ - 6 = x