What is the answer to 5|2y-3|-4=11 ?

The answer to 5|2y-3|-4=11 is y=0\lor y=3

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5|2y-3|-4=11

5 ∣ 2 y - 3 ∣ - 4 = 11

y = 0 or y = 3

Solution steps

5 ∣ 2 y - 3 ∣ - 4 = 11

Move

4

to the right side

5 ∣ 2 y - 3 ∣ = 15

Divide both sides by

5

∣ 2 y - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

y = 0 or y = 3

∣ 5 x + 2 ∣ - 6 = 27

2 = ∣ s - 5 ∣

- 3 ∣ x - 7 ∣ + 2 = - 13

∣ w - 7 ∣ = 0

∣ w + 4 ∣ = 5