Listen to each assistant's responses to the following instruction, and give each a score out of 100 and an explanation for the score. Here are some additional guidelines: * Do not award bonus points. * If the instruction includes additional context from which the response should be generated, deduct points if the response includes details not found within the provided context. * The assistants should not be making assumptions about the intent of the question. * If the instruction asks for results in a specific format, e.g. JSON, 50% of the score should be whether or not the assistant produced the correct format. * Award points for effort and problem formulation when the instruction is related to solving mathematical equations or coding. Respond in format "[assistant number]. [score]/100 - [explanation] Instruction: Solve for y in the equation 4y - 8 = 2(y + 6). Assistant 1's response: The equation can be rewritten as: 4y - 8 = 2y + 12. Now, subtract 2y from both sides to get: 4y - 2y = 2y + 12 - 2y. This simplifies to 3y = 12. Dividing by 3 on both sides gives: y = 4. Therefore, the solution for y is 4. Assistant 2's response: Let's start by simplifying the equation: 4y - 8 = 2(y + 6) 4y - 8 = 2y + 12 (distribute the 2) 2y = 20 (subtract 2y from both sides) y = 10 (divide both sides by 2) Therefore, y equals 10. Assistant 3's response: The equation can be solved for y by following these steps: 1. Start by isolating y on one side of the equation. To do this, subtract 4y from both sides of the equation: 4y - 8 - 4y = 2(y + 6) - 4y -8 = 2y + 12 - 4y -8 = 2y - 2y -8 = 0 This step results in an equation with no y term on one side of the equation. 2. Next, add 8 to both sides of the equation to solve for y: 0 + 8 = 2y - 2y + 8 8 = 0 This step results in an equation with an infinite value for y. 3. However, this infinite value is not a sol Assistant 4's response: To solve for y, we need to isolate y on one side of the equation. We can do this by adding 8 to both sides of the equation, which will cancel out the 8 on the left side. This gives us: 4y - 8 + 8 = 2(y + 6) + 8 Simplifying: 4y = 2y + 24 Subtracting 2y from both sides: 4y - 2y = 24 2y = 24 y = 12 Therefore, y = 12. Assistant 5's response: To solve for y, we can use the following steps: 1. Simplify the right-hand side of the equation by adding 6 to both sides: 2(y + 6) = 2y + 12 2. Subtract 2y from both sides: 2(y + 6) - 2y = 12 - 2y 3. Subtract 6 from both sides: 2y = 12 - 2y 4. Divide both sides by 2: y = 12/2 - y/2 5. Simplify the left-hand side of the equation by subtracting 8 from both sides: 4y - 8 = 12/2 - y/2 - 8 6. Combine like terms on the left-hand side: 4y - 8 = 8/2 - y/2 7. Subtract 8/2 from both sides: 4y - 4 = -y/2 8. Divide both sides by 4: y = -2/2 Therefore, y = -1. Assistant 6's response: To solve for y in the equation 4y - 8 = 2(y + 6), we can isolate y by adding 6 to both sides of the equation: 4y - 8 + 6 = 2(y + 6) + 6 Simplifying the left side: 4y = 2y + 12 Dividing both sides by 2: 2y = 6 To solve for y, we can divide both sides by 2 again: y = 3 Therefore, the solution for y in the equation 4y - 8 = 2(y + 6) is y = 3.