What is the answer to |y-7|+6=16 ?

The answer to |y-7|+6=16 is y=-3\lor y=17

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|y-7|+6=16

∣ y - 7 ∣ + 6 = 16

y = - 3 or y = 17

Solution steps

∣ y - 7 ∣ + 6 = 16

Move

6

to the right side

∣ y - 7 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y - 7 = - 10 or y - 7 = 10

y - 7 = - 10 or y - 7 = 10

y = - 3 or y = 17

x^{2} - 3 ∣ x ∣ = 0

1 = ∣ s + 22 ∣

∣ x - 1 ∣ + 1 = x^{2} - 4 x

∣ 6 x - 3 ∣ = 33

∣ x - 3 ∣ + ∣ x - 6 ∣ = 5