What is the answer to 37=|y+16| ?

The answer to 37=|y+16| is y=-53\lor y=21

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37=|y+16|

37 = ∣ y + 16 ∣

y = - 53 or y = 21

Solution steps

37 = ∣ y + 16 ∣

Switch sides

∣ y + 16 ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

y + 16 = - 37 or y + 16 = 37

y + 16 = - 37 or y + 16 = 37

y = - 53 or y = 21

∣ 4 x - 2 ∣ - 8 = 0

3 ∣ x - 5 ∣ = 27

∣ x - 3 ∣ + 2 = 5

∣ 7 - 4 b ∣ = 47

\frac{3}{4} a - 3 = 9