What is the answer to 1=|8-2y| ?

The answer to 1=|8-2y| is y= 7/2 \lor y= 9/2

Solve for y: 1=|8-2y|

The solution is y= 7/2 \lor y= 9/2

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1 = ∣ 8 - 2 y ∣

y = \frac{7}{2} or y = \frac{9}{2}

Solution steps

1 = ∣ 8 - 2 y ∣

Switch sides

∣ 8 - 2 y ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 2 y = - 1 or 8 - 2 y = 1

8 - 2 y = - 1 or 8 - 2 y = 1

y = \frac{7}{2} or y = \frac{9}{2}

∣ - 3 x + 8 ∣ = 14

∣ 4 x - 9 ∣ = 5 x

∣ 4 x + 5 ∣ = 2 x + 4

- 10 ∣ h + 5 ∣ - 3 = - 83

∣ 1 - 4 t ∣ = 5