What is the answer to 5|6y-3|-5=15 ?

The answer to 5|6y-3|-5=15 is y=-1/6 \lor y= 7/6

Solve for y: 5|6y-3|-5=15

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

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5 ∣ 6 y - 3 ∣ - 5 = 15

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

Decimal Notation

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

Solution steps

5 ∣ 6 y - 3 ∣ - 5 = 15

Move

5

to the right side

5 ∣ 6 y - 3 ∣ = 20

Divide both sides by

5

∣ 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}

∣ 5 u - 10 ∣ = 5

∣ 4 x - 7 ∣ = - 3

3 ∣ 2 x - 6 ∣ + 2 = 14

- 2 ∣ - 3 x - 5 ∣ = 0

∣ - x + 2 ∣ = 3

What is the answer to 5|6y-3|-5=15 ?
The answer to 5|6y-3|-5=15 is y=-1/6 \lor y= 7/6
Solve for y: 5|6y-3|-5=15
The solution is y=-1/6 \lor y= 7/6