To fully simplify $7x + 3y + 6 + 2y - 3x$, combine like terms.

Steps:

1. Group the $x$-terms: $7x - 3x = 4x$

2. Group the $y$-terms: $3y + 2y = 5y$

3. The constant term remains: $+6$

Final Simplified Expression:

$4x + 5y + 6$

Would you like further details or have any questions about this solution?

Here are five related questions for practice:

1. Simplify $5x + 3y - 2x - y + 8$.
2. Combine $10a + 4b - 3a + 7b + 5$.
3. Expand and simplify $2(x + y) + 3(x - y)$.
4. Factorize $4x + 8y + 12$.
5. Solve for $x$ if $4x + 5y + 6 = 0$.

Tip: Always start by grouping similar terms when simplifying expressions.