What is the answer to |5y+2|=12 ?

The answer to |5y+2|=12 is y=-14/5 \lor y=2

Solve for y: |5y+2|=12

The solution is y=-14/5 \lor y=2

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∣ 5 y + 2 ∣ = 12

y = - \frac{14}{5} or y = 2

Decimal Notation

y = - 2.8, y = 2

Solution steps

∣ 5 y + 2 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 y + 2 = - 12 or 5 y + 2 = 12

5 y + 2 = - 12 or 5 y + 2 = 12

y = - \frac{14}{5} or y = 2

∣ w ∣ = - 9

∣ w ∣ = - 7

∣ w ∣ = - 5

7 ∣ 2 x + 8 ∣ - 4 = - 4

5 + ∣ 6 - 5 x ∣ = 14