The expression given in the image is:

$2 - 3x + y + 2 + 7y - 3y$

To simplify the expression, we need to combine like terms:

1. Constant Terms: $2$ and $2$.
2. x-Terms: $-3x$.
3. y-Terms: $y + 7y - 3y$.

Let's simplify step by step:

1. Combine the constant terms: $2 + 2 = 4$.
2. The x-term remains as $-3x$.
3. Combine the y-terms: $y + 7y - 3y = 5y$.

So the fully simplified expression is:

$4 - 3x + 5y$

Would you like more details or have any questions?

Here are some related questions:

1. What are like terms in algebraic expressions?
2. How do you identify and combine like terms?
3. What happens if there are no like terms to combine?
4. How do constants differ from variable terms in expressions?
5. Can you factorize the simplified expression further?

Tip: Always ensure to combine like terms first before performing any other operations to simplify algebraic expressions correctly.