What is the answer to 5|y+1|-40=0 ?

The answer to 5|y+1|-40=0 is y=-9\lor y=7

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5|y+1|-40=0

5 ∣ y + 1 ∣ - 40 = 0

y = - 9 or y = 7

Solution steps

5 ∣ y + 1 ∣ - 40 = 0

Move

40

to the right side

5 ∣ y + 1 ∣ = 40

Divide both sides by

5

∣ y + 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 1 = - 8 or y + 1 = 8

y + 1 = - 8 or y + 1 = 8

y = - 9 or y = 7

∣ x - 1 ∣ = 7 - 2 x

∣ - 9 + 6 x ∣ = 3

∣ 4 t - 240 ∣ = 35

∣ n ∣ + 3 = 7

\frac{x + 1}{2} = 4