The problem asks us to simplify algebraic expressions by combining like terms. We will solve each sub-problem from 1 to 11 as requested.

1. Problem Description

The problem asks us to simplify algebraic expressions by combining like terms. We will solve each sub-problem from 1 to 11 as requested.

2. Solution Steps

1. $3x + 4y + 7y$

Combine the $y$ terms: $4y + 7y = 11y$

So, $3x + 4y + 7y = 3x + 11y$

2. $4a + 7b - 2a + b$

Combine the $a$ terms: $4a - 2a = 2a$

Combine the $b$ terms: $7b + b = 8b$

So, $4a + 7b - 2a + b = 2a + 8b$

3. $3x - 2y + 4y$

Combine the $y$ terms: $-2y + 4y = 2y$

So, $3x - 2y + 4y = 3x + 2y$

4. $2x + 3x + 5$

Combine the $x$ terms: $2x + 3x = 5x$

So, $2x + 3x + 5 = 5x + 5$

5. $7 - 3x + 2 + 4x$

Combine the constant terms: $7 + 2 = 9$

Combine the $x$ terms: $-3x + 4x = x$

So, $7 - 3x + 2 + 4x = 9 + x$

6. $5 - 3y - 6y - 2$

Combine the constant terms: $5 - 2 = 3$

Combine the $y$ terms: $-3y - 6y = -9y$

So, $5 - 3y - 6y - 2 = 3 - 9y$

7. $5x + 2y - 4y - x^2$

Combine the $y$ terms: $2y - 4y = -2y$

So, $5x + 2y - 4y - x^2 = 5x - 2y - x^2$

8. $2x^2 + 3x + 5$

There are no like terms to combine.

So, $2x^2 + 3x + 5 = 2x^2 + 3x + 5$

9. $2x - 7y - 2x - 3y$

Combine the $x$ terms: $2x - 2x = 0$

Combine the $y$ terms: $-7y - 3y = -10y$

So, $2x - 7y - 2x - 3y = -10y$

1

0. $4a + 3a^2 - 2a$

Combine the $a$ terms: $4a - 2a = 2a$

So, $4a + 3a^2 - 2a = 3a^2 + 2a$

1

1. $7a - 7a^2 + 7$

There are no like terms to combine.

So, $7a - 7a^2 + 7 = -7a^2 + 7a + 7$

3. Final Answer

1. $3x + 11y$

2. $2a + 8b$

3. $3x + 2y$

4. $5x + 5$

5. $9 + x$

6. $3 - 9y$

7. $5x - 2y - x^2$

8. $2x^2 + 3x + 5$

9. $-10y$

1

0. $3a^2 + 2a$

1

1. $-7a^2 + 7a + 7$