Final answer:
The equation 4y - 9 + y = 6 simplifies to 5y - 9 = 6, then to 5y = 15, and by dividing both sides by 5, we find that y = 3, which is the correct solution.
Step-by-step explanation:
To solve the equation 4y - 9 + y = 6, first combine like terms. Adding 4y and y gives 5y, so the equation simplifies to 5y - 9 = 6. Next, add 9 to both sides of the equation to isolate the term with the variable on one side, resulting in 5y = 15. Finally, divide both sides by 5 to solve for y, yielding y = 3.
To ensure the solution is correct, substitute y back into the original equation: 4(3) - 9 + 3 = 6. Checking this, we see that 12 - 9 + 3 indeed equals 6, confirming y = 3 is the correct solution.