What is the answer to |3y-5|=16 ?

The answer to |3y-5|=16 is y=-11/3 \lor y=7

Solve for y: |3y-5|=16

The solution is y=-11/3 \lor y=7

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∣ 3 y - 5 ∣ = 16

y = - \frac{11}{3} or y = 7

Decimal Notation

y = - 3.66666 \dots, y = 7

Solution steps

∣ 3 y - 5 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y - 5 = - 16 or 3 y - 5 = 16

3 y - 5 = - 16 or 3 y - 5 = 16

y = - \frac{11}{3} or y = 7

∣ 2 x - 1 ∣ = - 3

∣ 5 a ∣ = 10

7 ∣ x - 4 ∣ = 6

∣ 2 x - 1 ∣ = 5 x

9 \frac{b}{2} - 4 = 32