What is the answer to |3y+8|-1=0 ?

The answer to |3y+8|-1=0 is y=-3\lor y=-7/3

Solve for y: |3y+8|-1=0

The solution is y=-3\lor y=-7/3

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∣ 3 y + 8 ∣ - 1 = 0

y = - 3 or y = - \frac{7}{3}

Decimal Notation

y = - 3, y = - 2.33333 \dots

Solution steps

∣ 3 y + 8 ∣ - 1 = 0

Move

1

to the right side

∣ 3 y + 8 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y + 8 = - 1 or 3 y + 8 = 1

3 y + 8 = - 1 or 3 y + 8 = 1

y = - 3 or y = - \frac{7}{3}

a - \frac{1}{b} x = b

∣ x + 1 ∣ - 4 = - 2

∣ 2 x - 7 ∣ = 2

20 = ∣ a - 9 ∣

∣ - 4 - r ∣ = 4