Factor.
\[
5 y^{2}-33 y+18
\]
\(\boxed{(y - 6)(5y - 3)}\) is the factored form of the given expression.
Step 1 :The given expression is a quadratic equation in the form of \(ax^2 + bx + c\).
Step 2 :To factorize it, 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 18 in this case).
Step 3 :The two numbers that satisfy these conditions are -6 and -3.
Step 4 :Substituting these values into the quadratic equation, we get \((y - 6)(5y - 3)\).
Step 5 :\(\boxed{(y - 6)(5y - 3)}\) is the factored form of the given expression.