What is the answer to 22=|-2+5y| ?

The answer to 22=|-2+5y| is y=-4\lor y= 24/5

Solve for y: 22=|-2+5y|

The solution is y=-4\lor y= 24/5

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22 = ∣ - 2 + 5 y ∣

y = - 4 or y = \frac{24}{5}

Solution steps

22 = ∣ - 2 + 5 y ∣

Switch sides

∣ - 2 + 5 y ∣ = 22

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 + 5 y = - 22 or - 2 + 5 y = 22

- 2 + 5 y = - 22 or - 2 + 5 y = 22

y = - 4 or y = \frac{24}{5}

∣ 2 x - 3 ∣ = - x + 1

- 4 ∣ 2 x - 5 ∣ + 5 = - 19

∣ 9 - 3 c ∣ = 4

∣ 5 x - 6 ∣ - 4 = 10

3 x^{2} - 11 x + 1 = 5