What is the answer to 4|6y-1|-6=6 ?

The answer to 4|6y-1|-6=6 is y=-1/3 \lor y= 2/3

Solve for y: 4|6y-1|-6=6

The solution is y=-1/3 \lor y= 2/3

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4 ∣ 6 y - 1 ∣ - 6 = 6

y = - \frac{1}{3} or y = \frac{2}{3}

Decimal Notation

y = - 0.33333 \dots, y = 0.66666 \dots

Solution steps

4 ∣ 6 y - 1 ∣ - 6 = 6

Move

6

to the right side

4 ∣ 6 y - 1 ∣ = 12

Divide both sides by

4

∣ 6 y - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 y - 1 = - 3 or 6 y - 1 = 3

6 y - 1 = - 3 or 6 y - 1 = 3

y = - \frac{1}{3} or y = \frac{2}{3}

∣ 3 x - 1 ∣ + 9 = 12

∣ a ∣ = - 1, - 8, - 4

3 ∣ y - 6 ∣ + 9 = 45

3 - 2 ∣ 7 x - 7 ∣ = 7

x^{2} - x + 4 = 2

What is the answer to 4|6y-1|-6=6 ?
The answer to 4|6y-1|-6=6 is y=-1/3 \lor y= 2/3
Solve for y: 4|6y-1|-6=6
The solution is y=-1/3 \lor y= 2/3