Given the equation, 3 / (y - 5) = 15 / (y + 4) what is the value of y?

y = 29/4

Step-by-step explanation:

It is given that,

3 / (y - 5) = 15 / (y + 4)

To find the value of y

we have,

3 / (y - 5) = 15 / (y + 4)

3 (y + 4) = 15 (y - 5)

(y + 4) = 5 (y - 5) [dividing both sides by 3]

y + 4 = 5y - 25

5y - 25 = y + 4

5y - y = 4 + 25

4y = 29

y = 29/4

Therefore the value of y = 29/4