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

The answer to -2=-4|y+2| is y=-5/2 \lor y=-3/2

Solve for y: -2=-4|y+2|

The solution is y=-5/2 \lor y=-3/2

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- 2 = - 4 ∣ y + 2 ∣

y = - \frac{5}{2} or y = - \frac{3}{2}

Solution steps

- 2 = - 4 ∣ y + 2 ∣

Switch sides

- 4 ∣ y + 2 ∣ = - 2

Divide both sides by

- 4

∣ y + 2 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 2 = - \frac{1}{2} or y + 2 = \frac{1}{2}

y + 2 = - \frac{1}{2} or y + 2 = \frac{1}{2}

y = - \frac{5}{2} or y = - \frac{3}{2}

\frac{x}{a} = b

∣ 4 x - 4 ∣ - 4 = 5 x

x, ∣ x ∣ - y = 2

∣ - 15 + x ∣ = 4

4 ∣ x + 8 ∣ = 20

What is the answer to -2=-4|y+2| ?
The answer to -2=-4|y+2| is y=-5/2 \lor y=-3/2
Solve for y: -2=-4|y+2|
The solution is y=-5/2 \lor y=-3/2