What is the answer to 4|2y-3|-1=15 ?

The answer to 4|2y-3|-1=15 is y=-1/2 \lor y= 7/2

Solve for y: 4|2y-3|-1=15

The solution is y=-1/2 \lor y= 7/2

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4 ∣ 2 y - 3 ∣ - 1 = 15

y = - \frac{1}{2} or y = \frac{7}{2}

Decimal Notation

y = - 0.5, y = 3.5

Solution steps

4 ∣ 2 y - 3 ∣ - 1 = 15

Move

1

to the right side

4 ∣ 2 y - 3 ∣ = 16

Divide both sides by

4

∣ 2 y - 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 y - 3 = - 4 or 2 y - 3 = 4

2 y - 3 = - 4 or 2 y - 3 = 4

y = - \frac{1}{2} or y = \frac{7}{2}

∣ 3 x + 1 ∣ = 20

∣ 6 - 3 x ∣ = 4 - x

4 ∣ 2 x - 1 ∣ + 4 = 20

\frac{a}{6} - 10 = - 9

- 2 ∣ 5 + 3 x ∣ + 1 = - 5

What is the answer to 4|2y-3|-1=15 ?
The answer to 4|2y-3|-1=15 is y=-1/2 \lor y= 7/2
Solve for y: 4|2y-3|-1=15
The solution is y=-1/2 \lor y= 7/2