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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

1 answer

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