What is the answer to 3|y+3|-12=0 ?

The answer to 3|y+3|-12=0 is y=-7\lor y=1

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3|y+3|-12=0

3 ∣ y + 3 ∣ - 12 = 0

y = - 7 or y = 1

Solution steps

3 ∣ y + 3 ∣ - 12 = 0

Move

12

to the right side

3 ∣ y + 3 ∣ = 12

Divide both sides by

3

∣ y + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 3 = - 4 or y + 3 = 4

y + 3 = - 4 or y + 3 = 4

y = - 7 or y = 1

∣ 8 u - 8 ∣ = 0

∣ q + 9 ∣ + 4 = 3

\frac{7}{2} x + 3 = - 5

5 - 2 ∣ f ∣ = - 13

2 - 10 ∣ k - 1 ∣ = - 78