What is the answer to |3y-2|-2=0 ?

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

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|3y-2|-2=0

∣ 3 y - 2 ∣ - 2 = 0

y = 0 or y = \frac{4}{3}

Decimal Notation

y = 0, y = 1.33333 \dots

Solution steps

∣ 3 y - 2 ∣ - 2 = 0

Move

2

to the right side

∣ 3 y - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y - 2 = - 2 or 3 y - 2 = 2

3 y - 2 = - 2 or 3 y - 2 = 2

y = 0 or y = \frac{4}{3}

6 ∣ 2 x - 8 ∣ + 9 = 18

5 - 9 ∣ - 9 x + 9 ∣ = 86

8 ∣ d - 12 ∣ - 24 = 0

5 (∣ 2 x + a ∣ + 3 a) - 4 a = 31 a

∣ - 18 + x ∣ = 2