What is the answer to |4y-10|=|8y+17| ?

The answer to |4y-10|=|8y+17| is y=-27/4 \lor y=-7/12

Solve for y: |4y-10|=|8y+17|

The solution is y=-27/4 \lor y=-7/12

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∣ 4 y - 10 ∣ = ∣ 8 y + 17 ∣

y = - \frac{27}{4} or y = - \frac{7}{12}

Decimal

y = - 6.75, y = - 0.58333 \dots

Solution steps

∣ 4 y - 10 ∣ = ∣ 8 y + 17 ∣

Find positive and negative intervals

y < - \frac{17}{8}, - \frac{17}{8} \leq y < \frac{5}{2}, y \geq \frac{5}{2}

Solve the inequality for each interval

y = - \frac{27}{4} or y = - \frac{7}{12} or No Solution

y = - \frac{27}{4} or y = - \frac{7}{12}

∣ p ∣ - 3 = - 1

- 12 = - 4 ∣ - 4 + 8 x ∣

4 \times ∣ 2 x + 7 ∣ - 5 = 31

∣ 5 x - 1 ∣ = x + 4

8 = 2 ∣ x ∣ - 6

What is the answer to |4y-10|=|8y+17| ?
The answer to |4y-10|=|8y+17| is y=-27/4 \lor y=-7/12
Solve for y: |4y-10|=|8y+17|
The solution is y=-27/4 \lor y=-7/12