Final answer:
To solve the equation 24x - 8y = 72 for y, subtract 24x from both sides of the equation and then divide both sides by -8. The solution is y = -3x + 9.
Step-by-step explanation:
To solve the equation 24x - 8y = 72 for y, we need to isolate the variable y on one side of the equation. We can start by subtracting 24x from both sides of the equation:
24x - 24x - 8y = 72 - 24x
This simplifies to:
-8y = -24x + 72
Next, we can divide both sides of the equation by -8 to isolate y:
y = (-24x + 72) / -8
This simplifies to:
y = -3x + 9
Therefore, the solution for y is y = -3x + 9.