How do I solve for 8 / (y+3) = 4/3y

To solve this equation we can easily apply cross multiplication acknowledging that y is different from 0 and - 3 to ensure that the denominator is not Zero

This gives:

8 * 3y = 4 * (y + 3)

24y = 4y + 12

24y - 4y = 12

20y = 12

y = 12/20

Then y = 3/5 or in decimal form y = 0.6