Y2/y2−6y = 4(3−2y)/y(6−y)

Solutions are 2 and 6.

Step-by-step explanation:

⇒ 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