What is the answer to 3|6y-3|-6=6 ?

The answer to 3|6y-3|-6=6 is y=-1/6 \lor y= 7/6

Solve for y: 3|6y-3|-6=6

The solution is y=-1/6 \lor y= 7/6

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3 ∣ 6 y - 3 ∣ - 6 = 6

y = - \frac{1}{6} or y = \frac{7}{6}

Decimal Notation

y = - 0.16666 \dots, y = 1.16666 \dots

Solution steps

3 ∣ 6 y - 3 ∣ - 6 = 6

Move

6

to the right side

3 ∣ 6 y - 3 ∣ = 12

Divide both sides by

3

∣ 6 y - 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 y - 3 = - 4 or 6 y - 3 = 4

6 y - 3 = - 4 or 6 y - 3 = 4

y = - \frac{1}{6} or y = \frac{7}{6}

∣ 100 - x ∣ = 0

11 = ∣ 5 - 4 x ∣

- 3 ∣ 5 x - 2 ∣ = - 12

4 \frac{2 x}{3} = 14

- 7 ∣ c ∣ = 0

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