What is the answer to |2y-6|+14=34 ?

The answer to |2y-6|+14=34 is y=-7\lor y=13

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|2y-6|+14=34

∣ 2 y - 6 ∣ + 14 = 34

y = - 7 or y = 13

Solution steps

∣ 2 y - 6 ∣ + 14 = 34

Move

14

to the right side

∣ 2 y - 6 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 y - 6 = - 20 or 2 y - 6 = 20

2 y - 6 = - 20 or 2 y - 6 = 20

y = - 7 or y = 13

∣ 2 xx - 3 ∣ - 7 = 4

x, - ∣ 3 + x ∣ = 5

3 = ∣ r ∣ + 3

∣ 2 x + 3 ∣ - 7 = 24

∣ 5 - 8 x ∣ + 3 = 4

What is the answer to |2y-6|+14=34 ?
The answer to |2y-6|+14=34 is y=-7\lor y=13
Solve for y: |2y-6|+14=34
The solution is y=-7\lor y=13