What is the answer to 3|y-4|-12=0 ?

The answer to 3|y-4|-12=0 is y=0\lor y=8

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3|y-4|-12=0

3 ∣ y - 4 ∣ - 12 = 0

y = 0 or y = 8

Solution steps

3 ∣ y - 4 ∣ - 12 = 0

Move

12

to the right side

3 ∣ y - 4 ∣ = 12

Divide both sides by

3

∣ y - 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 4 = - 4 or y - 4 = 4

y - 4 = - 4 or y - 4 = 4

y = 0 or y = 8

3 ∣ x - 3 ∣ + 9 = 3

∣ 3 x ∣ = 1 - ∣ x ∣

2 ∣ x - 1 ∣ = x + 2

x, 2 ∣ 3 x + 1 ∣ + 6 = 4

\frac{1}{3} x = 2