7 * 4 + 35 : 7 * 5 - 16 : 2 : 4 * 3

Let's solve the expression step by step, following the order of operations (PEMDAS/BODMAS):

1. Multiplication and Division (from left to right):
* $$7 \cdot 4 = 28$$
* $$35 : 7 = 5$$
* $$5 \cdot 5 = 25$$
* $$16 : 2 = 8$$
* $$8 : 4 = 2$$
* $$2 \cdot 3 = 6$$
2. Now the expression looks like this:
$$28 + 25 - 6$$
3. Addition and Subtraction (from left to right):
* $$28 + 25 = 53$$
* $$53 - 6 = 47$$

Answer: 47