Factor. \[ 5 y^{2}-33 y+18 \]

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.