Sure! Let's simplify the given expression step by step.
The given expression is:
[tex]\[
(3y - 5) + (2y + 4)
\][/tex]
### Step 1: Remove the parentheses
First, we can remove the parentheses since they are not affecting the operations directly:
[tex]\[
3y - 5 + 2y + 4
\][/tex]
### Step 2: Combine like terms
To simplify this expression, we need to combine the like terms. Like terms are those that have the same variable raised to the same power. In this case, [tex]\(3y\)[/tex] and [tex]\(2y\)[/tex] are like terms, and [tex]\(-5\)[/tex] and [tex]\(4\)[/tex] are constant terms that can be combined.
#### Combine the [tex]\(y\)[/tex]-terms:
[tex]\[
3y + 2y = 5y
\][/tex]
#### Combine the constants:
[tex]\[
-5 + 4 = -1
\][/tex]
### Step 3: Write the simplified expression
Now, putting these combined results together, we get:
[tex]\[
5y - 1
\][/tex]
So, the simplified form of the given expression [tex]\((3y - 5) + (2y + 4)\)[/tex] is:
[tex]\[
5y - 1
\][/tex]
