What is the answer to 3|-4y-1|=3 ?

The answer to 3|-4y-1|=3 is y=-1/2 \lor y=0

Solve for y: 3|-4y-1|=3

The solution is y=-1/2 \lor y=0

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3 ∣ - 4 y - 1 ∣ = 3

y = - \frac{1}{2} or y = 0

Decimal Notation

y = - 0.5, y = 0

Solution steps

3 ∣ - 4 y - 1 ∣ = 3

Divide both sides by

3

∣ - 4 y - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 y - 1 = - 1 or - 4 y - 1 = 1

- 4 y - 1 = - 1 or - 4 y - 1 = 1

y = - \frac{1}{2} or y = 0

∣ - 8 x ∣ = 48

∣ z - 2 ∣ = 8

2 ∣ 5 x - 5 ∣ = 4

∣ z - 2 ∣ = 2

∣ z - 2 ∣ = 3