## Simplifying the Expression (6x+3y+4)-(x+y-5)

This article will guide you through the process of simplifying the algebraic expression **(6x+3y+4)-(x+y-5)**.

### Understanding the Problem

We have two expressions enclosed in parentheses, with a subtraction sign in between them. Our goal is to combine like terms and arrive at a simplified form.

### Step 1: Distribute the Negative Sign

The subtraction sign before the second set of parentheses indicates that we need to multiply each term inside the second parentheses by -1. This gives us:

**(6x+3y+4) + (-1)(x+y-5)**

Simplifying further:

**(6x+3y+4) -x -y +5**

### Step 2: Combine Like Terms

Now, identify terms with the same variable and exponent. We have:

**x terms:**6x - x**y terms:**3y - y**Constant terms:**4 + 5

Combining these terms:

**(6x - x) + (3y - y) + (4 + 5)**

### Step 3: Simplify

Performing the arithmetic:

**5x + 2y + 9**

### Final Answer

The simplified form of the expression (6x+3y+4)-(x+y-5) is **5x + 2y + 9**.