To find the value of -14x - 13y, we need to solve the equation -8x - 10y = 8. We can simplify this equation by dividing both sides by -2 to get 4x + 5y = -4.
Now, we can use the equation 4x + 5y = -4 to solve for y in terms of x. We can do this by subtracting 4x from both sides of the equation and then dividing both sides by 5. This gives us y = (-4 - 4x) / 5.
Now that we have an expression for y in terms of x, we can substitute it into the expression for -14x - 13y to get:
-14x - 13y = -14x - 13((-4 - 4x) / 5)
= -14x + (52/5) + (52/5)x
= (18/5)x - (52/5)
Therefore, the value of -14x - 13y is (18/5)x - (52/5)