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

The answer to 4|2y-3|-1=-1 is y= 3/2

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4|2y-3|-1=-1

4 ∣ 2 y - 3 ∣ - 1 = - 1

y = \frac{3}{2}

Decimal Notation

y = 1.5

Solution steps

4 ∣ 2 y - 3 ∣ - 1 = - 1

Add

1

to both sides

4 ∣ 2 y - 3 ∣ - 1 + 1 = - 1 + 1

Simplify

4 ∣ 2 y - 3 ∣ = 0

Divide both sides by

4

∣ 2 y - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 y - 3 = 0

2 y - 3 = 0 : y = \frac{3}{2}

y = \frac{3}{2}

∣ 3 x + 1 ∣ = 4 x

∣ x - 2 ∣ - 3 = 0

2 ∣ x + 1 ∣ = - 10

4 = ∣ q - 3 ∣ + 2

- 5 ∣ y + 3 ∣ = - 45