What is the answer to 36=|6-5y| ?

The answer to 36=|6-5y| is y=-6\lor y= 42/5

Solve for y: 36=|6-5y|

The solution is y=-6\lor y= 42/5

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36 = ∣ 6 - 5 y ∣

y = - 6 or y = \frac{42}{5}

Solution steps

36 = ∣ 6 - 5 y ∣

Switch sides

∣ 6 - 5 y ∣ = 36

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 5 y = - 36 or 6 - 5 y = 36

6 - 5 y = - 36 or 6 - 5 y = 36

y = - 6 or y = \frac{42}{5}

21 = ∣ 5 - 4 b ∣

5 = ∣ 5 y ∣

∣ 2 x - 3 ∣ = x^{2}

∣ 2 x + 3 ∣ - x = 2

∣ x - 4 ∣ + 2 = 2 x