Final answer:
To solve the equation, we use the distributive property to simplify the equation and isolate the variable y. The solution to the equation is y = -5.
Step-by-step explanation:
To solve the equation using the distributive property, we distribute the number on the outside of the parentheses to each term inside.
-24 = 8(y + 2)
-24 = 8y + 16
Next, we isolate the variable by subtracting 16 from both sides of the equation.
-24 - 16 = 8y
-40 = 8y
Finally, we solve for y by dividing both sides of the equation by 8.
-5 = y
Therefore, the value of y that satisfies the equation is y = -5.
Learn more about Solving equations using the distributive property