What is the answer to 5+3|y+5|=8 ?

The answer to 5+3|y+5|=8 is y=-6\lor y=-4

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5+3|y+5|=8

5 + 3 ∣ y + 5 ∣ = 8

y = - 6 or y = - 4

Solution steps

5 + 3 ∣ y + 5 ∣ = 8

Move

5

to the right side

3 ∣ y + 5 ∣ = 3

Divide both sides by

3

∣ y + 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 5 = - 1 or y + 5 = 1

y + 5 = - 1 or y + 5 = 1

y = - 6 or y = - 4

∣ 2 x + 7 ∣ + 7 = 6

∣ 2 x + 7 ∣ + 7 = 4

∣ 2 - 3 t ∣ + 5 = 16

1 - ∣ 4 x + 3 ∣ = 6

∣ 4 x - 3 ∣ = 3 - x