What is the answer to |2-3y|=13 ?

The answer to |2-3y|=13 is y=-11/3 \lor y=5

Solve for y: |2-3y|=13

The solution is y=-11/3 \lor y=5

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∣ 2 - 3 y ∣ = 13

y = - \frac{11}{3} or y = 5

Decimal Notation

y = - 3.66666 \dots, y = 5

Solution steps

∣ 2 - 3 y ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 y = - 13 or 2 - 3 y = 13

2 - 3 y = - 13 or 2 - 3 y = 13

y = - \frac{11}{3} or y = 5

∣ 3 x + 5 ∣ = 2 x + 3

∣ 7 x - 49 ∣ = 0

∣ 7 m ∣ = 14

∣ 4 x - 1 ∣ = 19

∣ 4 x - 1 ∣ = 11