What is the answer to 59=|9-5y| ?

The answer to 59=|9-5y| is y=-10\lor y= 68/5

Solve for y: 59=|9-5y|

The solution is y=-10\lor y= 68/5

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59 = ∣ 9 - 5 y ∣

y = - 10 or y = \frac{68}{5}

Solution steps

59 = ∣ 9 - 5 y ∣

Switch sides

∣ 9 - 5 y ∣ = 59

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 5 y = - 59 or 9 - 5 y = 59

9 - 5 y = - 59 or 9 - 5 y = 59

y = - 10 or y = \frac{68}{5}

10 = \frac{y}{9}

∣ 4 x - 7 ∣ = 3

5 ∣ 6 - x ∣ + 9 = 34

∣ b - 9 ∣ = 20

∣ - 3 a + 8 ∣ = 11