What is the answer to -3|6y-7|+10=-8 ?

The answer to -3|6y-7|+10=-8 is y= 1/6 \lor y= 13/6

Solve for y: -3|6y-7|+10=-8

The solution is y= 1/6 \lor y= 13/6

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- 3 ∣ 6 y - 7 ∣ + 10 = - 8

y = \frac{1}{6} or y = \frac{13}{6}

Decimal Notation

y = 0.16666 \dots, y = 2.16666 \dots

Solution steps

- 3 ∣ 6 y - 7 ∣ + 10 = - 8

Move

10

to the right side

- 3 ∣ 6 y - 7 ∣ = - 18

Divide both sides by

- 3

∣ 6 y - 7 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 y - 7 = - 6 or 6 y - 7 = 6

6 y - 7 = - 6 or 6 y - 7 = 6

y = \frac{1}{6} or y = \frac{13}{6}

2 x - 7 = ∣ x + 1 ∣

5 ∣ x - 4 ∣ = 12

- ∣ x - 2 ∣ = 0

5 ∣ 6 x + 7 ∣ + 4 = 29

∣ - 3 x + 6 ∣ - 5 = 13

What is the answer to -3|6y-7|+10=-8 ?
The answer to -3|6y-7|+10=-8 is y= 1/6 \lor y= 13/6
Solve for y: -3|6y-7|+10=-8
The solution is y= 1/6 \lor y= 13/6