To solve the system of equations using substitution, we start with the two equations given:
- \( y = -5 \)
- \( 4x - 8y = 16 \)
We can substitute the value of \( y \) from the first equation into the second equation.
Substituting \( y = -5 \) into the second equation:
\[ 4x - 8(-5) = 16 \]
This simplifies to:
\[ 4x + 40 = 16 \]
Next, isolate \( x \):
\[ 4x = 16 - 40 \]
\[ 4x = -24 \]
Now, divide by 4:
\[ x = -6 \]
Now we have the solutions for both \( x \) and \( y \):
\[ x = -6, \quad y = -5 \]
Thus, the solution to the system of equations is:
\[ \boxed{(-6, -5)} \]
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