The problem requires simplifying given algebraic expressions by combining like terms. There are 12 problems in total.

1. Problem Description

The problem requires simplifying given algebraic expressions by combining like terms. There are 12 problems in total.

2. Solution Steps

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

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

Final result: $3x + 11y$

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

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

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

Final result: $2a + 8b$

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

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

Final result: $3x + 2y$

4. $2x + 3x + 5$

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

Final result: $5x + 5$

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

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

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

Final result: $x + 9$

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

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

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

Final result: $3 - 9y$

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

Combine the $x$ terms: $5x - x = 4x$

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

Final result: $4x - 2y$

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

There are no like terms to combine.

Final result: $2x^2 + 3x + 5$

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

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

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

Final result: $-10y$

1

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

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

Final result: $3a^2 + 2a$

1

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

There are no like terms to combine.

Final result: $-7a^2 + 7a + 7$

1

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

Combine the $x^2$ terms: $x^2 + 3x^2 - 4x^2 = (1 + 3 - 4)x^2 = 0x^2 = 0$

Final result: $5x$

3. Final Answer

1. $3x + 11y$

2. $2a + 8b$

3. $3x + 2y$

4. $5x + 5$

5. $x + 9$

6. $3 - 9y$

7. $4x - 2y$

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

9. $-10y$

1

0. $3a^2 + 2a$

1

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

1

2. $5x$