What is the answer to -2|-4+y|=-9 ?

The answer to -2|-4+y|=-9 is y=-1/2 \lor y= 17/2

Solve for y: -2|-4+y|=-9

The solution is y=-1/2 \lor y= 17/2

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- 2 ∣ - 4 + y ∣ = - 9

y = - \frac{1}{2} or y = \frac{17}{2}

Solution steps

- 2 ∣ - 4 + y ∣ = - 9

Divide both sides by

- 2

∣ - 4 + y ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 + y = - \frac{9}{2} or - 4 + y = \frac{9}{2}

- 4 + y = - \frac{9}{2} or - 4 + y = \frac{9}{2}

y = - \frac{1}{2} or y = \frac{17}{2}

2 = ∣ h ∣ - 5

4 ∣ 2 x + 7 ∣ + 4 = 16

∣ 4 x ∣ - 10 = - 10

169 = ∣ c + 675 ∣ - 6

14 = - 7 ∣ h ∣

What is the answer to -2|-4+y|=-9 ?
The answer to -2|-4+y|=-9 is y=-1/2 \lor y= 17/2
Solve for y: -2|-4+y|=-9
The solution is y=-1/2 \lor y= 17/2