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How many solutions does Y + 12 = y + 4 have?
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GPT-5 mini
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It depends on interpretation of the letters:
- If Y and y are the same variable, the equation becomes Y + 12 = Y + 4 ⇒ 12 = 4, impossible, so 0 solutions.
- If Y and y are different variables, the equation is Y = y − 8, which has infinitely many solutions (all ordered pairs (Y,y) with Y = y − 8; e.g. y=0, Y=−8).
- If Y and y are the same variable, the equation becomes Y + 12 = Y + 4 ⇒ 12 = 4, impossible, so 0 solutions.
- If Y and y are different variables, the equation is Y = y − 8, which has infinitely many solutions (all ordered pairs (Y,y) with Y = y − 8; e.g. y=0, Y=−8).
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