What is the answer to 2|y-3|-6=0 ?

The answer to 2|y-3|-6=0 is y=0\lor y=6

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2|y-3|-6=0

2 ∣ y - 3 ∣ - 6 = 0

y = 0 or y = 6

Solution steps

2 ∣ y - 3 ∣ - 6 = 0

Move

6

to the right side

2 ∣ y - 3 ∣ = 6

Divide both sides by

2

∣ y - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

y = 0 or y = 6

∣ 2 x + 1 ∣ = x + 2

x^{2} - 3 = 13

∣ 2 x + 1 ∣ = x - 2

∣ 4 x - 8 ∣ = 12

∣ 2 x - 1 ∣ = 5 x - 2