What is the answer to |3y+7|=|5y-4| ?

The answer to |3y+7|=|5y-4| is y=-3/8 \lor y= 11/2

Solve for y: |3y+7|=|5y-4|

The solution is y=-3/8 \lor y= 11/2

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∣ 3 y + 7 ∣ = ∣ 5 y - 4 ∣

y = - \frac{3}{8} or y = \frac{11}{2}

Decimal

y = - 0.375, y = 5.5

Solution steps

∣ 3 y + 7 ∣ = ∣ 5 y - 4 ∣

Find positive and negative intervals

y < - \frac{7}{3}, - \frac{7}{3} \leq y < \frac{4}{5}, y \geq \frac{4}{5}

Solve the inequality for each interval

No Solution or y = - \frac{3}{8} or y = \frac{11}{2}

y = - \frac{3}{8} or y = \frac{11}{2}

4 + 2 ∣ x - 4 ∣ = 10

\frac{1}{3} ∣ 6 x + 6 ∣ + 4 = 14

∣ 6 x + 4 ∣ = ∣ 5 x + 6 ∣

y, x^{2} + ∣ y ∣ = 1

- 2 ∣ 2 x + 3 ∣ = - 18

What is the answer to |3y+7|=|5y-4| ?
The answer to |3y+7|=|5y-4| is y=-3/8 \lor y= 11/2
Solve for y: |3y+7|=|5y-4|
The solution is y=-3/8 \lor y= 11/2