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Build, simplify, and solve each equation. Record your work.

4y - 9 + y = 6

Explain each step and provide the final solution.

User Endre Simo
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1 Answer

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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.

User Steven Pena
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