What is the answer to 8=|5y+2| ?

The answer to 8=|5y+2| is y=-2\lor y= 6/5

Solve for y: 8=|5y+2|

The solution is y=-2\lor y= 6/5

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8 = ∣ 5 y + 2 ∣

y = - 2 or y = \frac{6}{5}

Solution steps

8 = ∣ 5 y + 2 ∣

Switch sides

∣ 5 y + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 y + 2 = - 8 or 5 y + 2 = 8

5 y + 2 = - 8 or 5 y + 2 = 8

y = - 2 or y = \frac{6}{5}

3 ∣ x - 2 ∣ = 12

∣ 2 x + 1 ∣ + 4 = x

- 3 ∣ 8 - x ∣ - 5 = - 11

∣ 8 k - 5 ∣ = 4 k - 23

∣ 3 - 2 r ∣ = 7