What is the answer to |5y-8|=12 ?

The answer to |5y-8|=12 is y=-4/5 \lor y=4

Solve for y: |5y-8|=12

The solution is y=-4/5 \lor y=4

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∣ 5 y - 8 ∣ = 12

y = - \frac{4}{5} or y = 4

Solution steps

∣ 5 y - 8 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 y - 8 = - 12 or 5 y - 8 = 12

5 y - 8 = - 12 or 5 y - 8 = 12

y = - \frac{4}{5} or y = 4

4 ∣ x - 10 ∣ = 44

∣ 2 - 3 x ∣ = 8

∣ 3 x - 4 ∣ = 6

5 ∣ 4 w - 1 ∣ = 5 w + 40

∣ 2 x + 5 ∣ = 15