What is the answer to |8y-4|=24 ?

The answer to |8y-4|=24 is y=-5/2 \lor y= 7/2

Solve for y: |8y-4|=24

The solution is y=-5/2 \lor y= 7/2

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∣ 8 y - 4 ∣ = 24

y = - \frac{5}{2} or y = \frac{7}{2}

Solution steps

∣ 8 y - 4 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 y - 4 = - 24 or 8 y - 4 = 24

8 y - 4 = - 24 or 8 y - 4 = 24

y = - \frac{5}{2} or y = \frac{7}{2}

9 - 4 ∣ c + 10 ∣ = 15

∣ p + 9 ∣ = 1

∣ 3 x - 5 ∣ = 7 x - 3

∣ 5 v + 15 ∣ = 10

∣ 1 - 5 t ∣ + 6 = 22