What is the answer to |y-4|+7=15 ?

The answer to |y-4|+7=15 is y=-4\lor y=12

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|y-4|+7=15

∣ y - 4 ∣ + 7 = 15

y = - 4 or y = 12

Solution steps

∣ y - 4 ∣ + 7 = 15

Move

7

to the right side

∣ y - 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 4 = - 8 or y - 4 = 8

y - 4 = - 8 or y - 4 = 8

y = - 4 or y = 12

\frac{3 x + 4}{3} = 7

∣ 2 x + 2 ∣ + 16 = 10

4 x + 2 = - ∣ x - 10 ∣

∣ 8 - 3 s ∣ = \frac{9}{3}

\frac{∣ x - 4 ∣ + 8}{2} = 4