What is the answer to |3y+4|=8 ?

The answer to |3y+4|=8 is y=-4\lor y= 4/3

Solve for y: |3y+4|=8

The solution is y=-4\lor y= 4/3

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∣ 3 y + 4 ∣ = 8

y = - 4 or y = \frac{4}{3}

Decimal Notation

y = - 4, y = 1.33333 \dots

Solution steps

∣ 3 y + 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y + 4 = - 8 or 3 y + 4 = 8

3 y + 4 = - 8 or 3 y + 4 = 8

y = - 4 or y = \frac{4}{3}

∣ 6 x + 3 ∣ + 2 = 6

∣ x + 6 ∣ = 6

∣ x + 6 ∣ = 5

∣ 4 x + 4 ∣ = 20

∣ 5 x - 4 ∣ = 3 x + 7