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

The answer to |2-3y|=3 is y=-1/3 \lor y= 5/3

Solve for y: |2-3y|=3

The solution is y=-1/3 \lor y= 5/3

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∣ 2 - 3 y ∣ = 3

y = - \frac{1}{3} or y = \frac{5}{3}

Decimal Notation

y = - 0.33333 \dots, y = 1.66666 \dots

Solution steps

∣ 2 - 3 y ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

y = - \frac{1}{3} or y = \frac{5}{3}

∣ 2 x + 7 ∣ = 5

∣ 4 x - 5 ∣ + 5 x + 2 = 0

3 = ∣ 15 + 3 b ∣

∣ 2 t - 3 ∣ = 3 t - 2

9 + 2 ∣ 4 x - 5 ∣ = 13