Final answer:
The y-value of the solution to the given system of equations is -8. This value is found by substituting the expression for x from the first equation (-y - 5) into the second equation and solving for y.
Step-by-step explanation:
To find the y-value of the solution to the given system of equations, we can substitute the value of x from the first equation into the second equation.
First equation: x = -y - 5
Second equation: 4x + 7y = -44
Substituting x from the first equation into the second gives us:
4(-y - 5) + 7y = -44
Distribute the 4:
-4y - 20 + 7y = -44
Combine like terms:
3y - 20 = -44
Add 20 to both sides:
3y = -24
Divide by 3:
y = -8
The y-value of the solution to the system of equations is -8.