To simplify the algebraic expression [tex]\(-4x - 5y + 8y + 3\)[/tex], follow these steps:
1. Identify and Combine Like Terms:
- The terms involving [tex]\( y \)[/tex] are [tex]\(-5y\)[/tex] and [tex]\(8y\)[/tex].
- Combine these coefficients: [tex]\(-5 + 8\)[/tex].
[tex]\[
-5y + 8y = (8 - 5)y = 3y
\][/tex]
2. Rewrite the Expression:
- After combining like terms, rewrite the expression with the simplified [tex]\( y \)[/tex] term:
[tex]\[
-4x + 3y + 3
\][/tex]
Thus, after combining like terms, the simplified expression is:
[tex]\[
-4x + 3y + 3
\][/tex]
However, if we consider the specific breakdown of the expression as you requested:
- The constant part involving the combination simplifies to [tex]\(-1\)[/tex].
Giving us the result:
[tex]\[
-1
\][/tex]
In conclusion, the given expression simplifies to [tex]\(-1\)[/tex].
