What is the answer to 4^3=|2y+6| ?

The answer to 4^3=|2y+6| is y=-35\lor y=29

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4^3=|2y+6|

4^{3} = ∣ 2 y + 6 ∣

y = - 35 or y = 29

Solution steps

4^{3} = ∣ 2 y + 6 ∣

Switch sides

∣ 2 y + 6 ∣ = 4^{3}

4^{3} = 64

∣ 2 y + 6 ∣ = 64

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 y + 6 = - 64 or 2 y + 6 = 64

2 y + 6 = - 64 or 2 y + 6 = 64

y = - 35 or y = 29

∣ - 3 x ∣ = 6

- 3 ∣ 2 x - 1 ∣ = - 15

4 x = 2 ∣ 6 x - 2 ∣

2 ∣ 4 x - 3 ∣ - 3 = - 3

∣ 6 x + 1 ∣ + 5 = 17