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
