Answer :

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 \)