Final answer:
To solve the equation [9y - 4(y + 5) = 40], simplify the expression within the parentheses using the distributive property. Combine like terms and isolate the variable by moving the constant term. Solve for y by dividing both sides of the equation.
Step-by-step explanation:
To solve the equation [9y - 4(y + 5) = 40], we can use the distributive property to simplify the expression within the parentheses:
9y - 4y - 20 = 40
Combining like terms, we have: 5y - 20 = 40
Next, we can isolate the variable by moving the constant term to the other side of the equation. We do this by adding 20 to both sides:
5y = 40 + 20
Simplifying further, we get: 5y = 60
Finally, we solve for y by dividing both sides of the equation by 5:
y = 60/5
Simplifying the fraction, we get: y = 12
Therefore, the solution to the equation is y = 12.