What is the answer to |14-6y|=10 ?

The answer to |14-6y|=10 is y= 2/3 \lor y=4

Solve for y: |14-6y|=10

The solution is y= 2/3 \lor y=4

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∣ 14 - 6 y ∣ = 10

y = \frac{2}{3} or y = 4

Decimal Notation

y = 0.66666 \dots, y = 4

Solution steps

∣ 14 - 6 y ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

14 - 6 y = - 10 or 14 - 6 y = 10

14 - 6 y = - 10 or 14 - 6 y = 10

y = \frac{2}{3} or y = 4

- ∣ x - 4 ∣ - 3 = - 12

∣ 7 x - 7 ∣ = 21

- 4 + 8 ∣ n - 10 ∣ = 52

∣ 2 y - 3 ∣ = 9

∣ 2 n + 3 ∣ = 3