What is the answer to |6-3y|=1 ?

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

Solve for y: |6-3y|=1

The solution is y= 5/3 \lor y= 7/3

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∣ 6 - 3 y ∣ = 1

y = \frac{5}{3} or y = \frac{7}{3}

Decimal Notation

y = 1.66666 \dots, y = 2.33333 \dots

Solution steps

∣ 6 - 3 y ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

y = \frac{5}{3} or y = \frac{7}{3}

∣ 2 x - 3 ∣ - 3 = 4 x

∣ 3 x + 1 ∣ = 7 - x

∣ x - 3 ∣ = 3 - x

∣ 8 - 5 x ∣ = 8

∣ 3 b + 9 ∣ - 16 = - 52