What is the answer to |y+2|+4=7 ?

The answer to |y+2|+4=7 is y=-5\lor y=1

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|y+2|+4=7

∣ y + 2 ∣ + 4 = 7

y = - 5 or y = 1

Solution steps

∣ y + 2 ∣ + 4 = 7

Move

4

to the right side

∣ y + 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 2 = - 3 or y + 2 = 3

y + 2 = - 3 or y + 2 = 3

y = - 5 or y = 1

- ∣ x + 1 ∣ + 2 = 0

- ∣ x + 3 ∣ = - 4

\frac{m}{7} + 1 = 0

- 2 ∣ 5 x - 7 ∣ + 9 = - 1

∣ x + 9 ∣ + 2 = 4