What is the answer to 17=|-7+4y| ?

The answer to 17=|-7+4y| is y=-5/2 \lor y=6

Solve for y: 17=|-7+4y|

The solution is y=-5/2 \lor y=6

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17 = ∣ - 7 + 4 y ∣

y = - \frac{5}{2} or y = 6

Decimal Notation

y = - 2.5, y = 6

Solution steps

17 = ∣ - 7 + 4 y ∣

Switch sides

∣ - 7 + 4 y ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 7 + 4 y = - 17 or - 7 + 4 y = 17

- 7 + 4 y = - 17 or - 7 + 4 y = 17

y = - \frac{5}{2} or y = 6

5 = 5 ∣ c + 5 ∣

∣ - h ∣ = 7

- 4 = ∣ v + 4 ∣ - 7

2 ∣ 2 p - 3 ∣ - 1 = - 11

2 ∣ x ∣ + 3 = 5