What is the answer to 5=3| 1/2 y-4|-7 ?

The answer to 5=3| 1/2 y-4|-7 is y=0\lor y=16

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5=3| 1/2 y-4|-7

5 = 3 \frac{1}{2} y - 4 - 7

y = 0 or y = 16

Solution steps

5 = 3 \frac{1}{2} y - 4 - 7

Switch sides

3 \frac{1}{2} y - 4 - 7 = 5

Move

7

to the right side

3 \frac{1}{2} y - 4 = 12

Divide both sides by

3

\frac{1}{2} y - 4 = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} y - 4 = - 4 or \frac{1}{2} y - 4 = 4

\frac{1}{2} y - 4 = - 4 or \frac{1}{2} y - 4 = 4

y = 0 or y = 16

18 - 3 x - x^{2} = 3 - x

∣ 7 x - 5 ∣ - 1 = 3

- 2 ∣ x - 4 ∣ + 3 = - 5

∣ 2 x - 3 ∣ + 7 = 2

y, x = ∣ y ∣ - 4

What is the answer to 5=3| 1/2 y-4|-7 ?
The answer to 5=3| 1/2 y-4|-7 is y=0\lor y=16
Solve for y: 5=3| 1/2 y-4|-7
The solution is y=0\lor y=16