What is the answer to 2|y-8|+10=30 ?

The answer to 2|y-8|+10=30 is y=-2\lor y=18

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2|y-8|+10=30

2 ∣ y - 8 ∣ + 10 = 30

y = - 2 or y = 18

Solution steps

2 ∣ y - 8 ∣ + 10 = 30

Move

10

to the right side

2 ∣ y - 8 ∣ = 20

Divide both sides by

2

∣ y - 8 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 8 = - 10 or y - 8 = 10

y - 8 = - 10 or y - 8 = 10

y = - 2 or y = 18

∣ 5 x - 4 ∣ = 10

6 ∣ c ∣ = 0

∣ 2 k - 1 ∣ = k

10 - ∣ 5 x ∣ = 4

15 = 2 - ∣ z + 4 ∣

What is the answer to 2|y-8|+10=30 ?
The answer to 2|y-8|+10=30 is y=-2\lor y=18
Solve for y: 2|y-8|+10=30
The solution is y=-2\lor y=18