What is the answer to |3y-12|-7=2 ?

The answer to |3y-12|-7=2 is y=1\lor y=7

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|3y-12|-7=2

∣ 3 y - 12 ∣ - 7 = 2

y = 1 or y = 7

Solution steps

∣ 3 y - 12 ∣ - 7 = 2

Move

7

to the right side

∣ 3 y - 12 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 y - 12 = - 9 or 3 y - 12 = 9

3 y - 12 = - 9 or 3 y - 12 = 9

y = 1 or y = 7

\frac{n}{2} = 3

∣ 3 x - 9 ∣ = 24

∣ 2 x - 7 ∣ - 15 = - 6

∣ x - 4 ∣ = 12

4 ∣ m + 3 ∣ - 3 = - 3