What is the answer to |6y+9|=8 ?

The answer to |6y+9|=8 is y=-17/6 \lor y=-1/6

Solve for y: |6y+9|=8

The solution is y=-17/6 \lor y=-1/6

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∣ 6 y + 9 ∣ = 8

y = - \frac{17}{6} or y = - \frac{1}{6}

Decimal Notation

y = - 2.83333 \dots, y = - 0.16666 \dots

Solution steps

∣ 6 y + 9 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 y + 9 = - 8 or 6 y + 9 = 8

6 y + 9 = - 8 or 6 y + 9 = 8

y = - \frac{17}{6} or y = - \frac{1}{6}

- 2 ∣ - 2 k + 1 ∣ = - 18

1 = ∣ 5 x + 9 ∣ + 6

∣ 4 x + 6 ∣ - 4 x = - 10

∣ 13 + 4 y ∣ = 13

\frac{t}{2} = 15