Final answer:
To find the value of y for x = -4 in the equation -6x - 8y = -48, substitute -4 for x and solve for y. The calculation shows that when x equals -4, y is equal to 9.
Step-by-step explanation:
To complete the solution of the equation and find the value of y when x equals -4, we can substitute -4 for x into the equation -6x - 8y = -48:
-6(-4) - 8y = -48
24 - 8y = -48
Now, we isolate y by performing arithmetic operations:
-8y = -48 - 24
-8y = -72
We then divide both sides of the equation by -8 to solve for y:
y = ⅔72/-8
y = 9
The value of y when x equals -4 is 9.