Factor completely.
\[
3 y^{2}+33 y+72
\]
Final Answer: The completely factored form of the given expression is \(\boxed{3(y + 3)(y + 8)}\).
Step 1 :The given expression is a quadratic equation in the form of ax^2 + bx + c. To factorize it completely, we need to find two numbers such that their sum is equal to the coefficient of y (which is 33 in this case) and their product is equal to the constant term (which is 72 in this case).
Step 2 :Let's denote y as y. The expression is \(3y^{2} + 33y + 72\).
Step 3 :We can factorize the expression as \(3*(y + 3)*(y + 8)\).
Step 4 :Final Answer: The completely factored form of the given expression is \(\boxed{3(y + 3)(y + 8)}\).