Question

Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y?

Group of answer choices

2y = 1

7y = 6

5y = 17

12y = 17

Answer 1

To simplify the equation \( 7y + 8 = 9 + 3y + 2y \), we start with the right side:

1. Combine like terms on the right side:
\[
3y + 2y = 5y
\]
Thus, the equation becomes:
\[
7y + 8 = 9 + 5y
\]

2. Now, subtract \( 5y \) from both sides:
\[
7y - 5y + 8 = 9
\]
This simplifies to:
\[
2y + 8 = 9
\]

3. Next, subtract \( 8 \) from both sides:
\[
2y = 9 - 8
\]
Which simplifies to:
\[
2y = 1
\]

Therefore, the simplified form of the equation is \( 2y = 1 \).

The correct answer is:
**2y = 1**