What is the answer to 20-|2y-6|=10 ?

The answer to 20-|2y-6|=10 is y=-2\lor y=8

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20-|2y-6|=10

20 - ∣ 2 y - 6 ∣ = 10

y = - 2 or y = 8

Solution steps

20 - ∣ 2 y - 6 ∣ = 10

Move

20

to the right side

- ∣ 2 y - 6 ∣ = - 10

Divide both sides by

- 1

∣ 2 y - 6 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 y - 6 = - 10 or 2 y - 6 = 10

2 y - 6 = - 10 or 2 y - 6 = 10

y = - 2 or y = 8

2 ∣ x ∣ = 3

3 ∣ 16 x + 18 ∣ - 9 = 15

∣ 1 - 4 x ∣ = 1 + x

4 ∣ 2 x + 5 ∣ = 8

∣ x - 3.5 ∣ = 0.8