What is the answer to |y|+6=12 ?

The answer to |y|+6=12 is y=-6\lor y=6

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|y|+6=12

∣ y ∣ + 6 = 12

y = - 6 or y = 6

Solution steps

∣ y ∣ + 6 = 12

Move

6

to the right side

∣ y ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y = - 6 or y = 6

\frac{1}{2} x - 2 = 14

x^{2} - 7 x = 12

∣ 2 x ∣ = - 7

∣ x + 3 ∣ + ∣ x - 1 ∣ = 6

∣ 2 x ∣ = - 9