Let's combine the like terms in the expression step-by-step:
Given expression:
[tex]\[ 4 - 5 - 2x - 4y + 4 - 5x + 7y \][/tex]
First, let's group the constants:
[tex]\[ 4 + 4 - 5 \][/tex]
Next, combine these constants:
[tex]\[ 4 + 4 - 5 = 3 \][/tex]
Now, let's group the [tex]\(x\)[/tex]-terms:
[tex]\[ -2x - 5x \][/tex]
Combine these [tex]\(x\)[/tex]-terms:
[tex]\[ -2x - 5x = -7x \][/tex]
Next, let's group the [tex]\(y\)[/tex]-terms:
[tex]\[ -4y + 7y \][/tex]
Combine these [tex]\(y\)[/tex]-terms:
[tex]\[ -4y + 7y = 3y \][/tex]
So, the simplified expression is:
[tex]\[ 3 - 7x + 3y \][/tex]
Therefore, the solution is:
Constant term: 3
\[ x \)-term coefficient: -7 \)
\[ y \)-term coefficient: 3 \)