Y2/y2-6y = 4 (3-2y) / y (6-y)

Solutions are 2 and 6.

Step-by-step explanation:

Step 1: Solve for y to find the solutions.

⇒ y²/y² - 6y = 4 (3 - 2y) / y (6 - y)

⇒ y²/y² - 6y = 12 - 8y/6y - y²

⇒ y²/y² - 6y = - 12 + 8y/y² - 6y (Taking the negative side out from 6y - y²)

⇒ y² = - 12 + 8y (Both denominators are cancelled out)

⇒ y² - 8y + 12 = 0

⇒ y² - 6y - 2y + 12 = 0

⇒ y (y - 6) - 2 (y - 6) = 0

⇒ (y-6) (y - 2) = 0

⇒ y = 2, 6