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Tricky Substitution Equation

Trick brain teasers appear difficult at first, but they have a trick that makes them really easy.

 Puzzle ID: #50023 Fun: (2.38) Difficulty: (2.82) Category: Trick Submitted By: eighsse

Karl and his friend Larry are always pulling trick brain teasers on each other. Larry has been getting the best of Karl all too often lately, so Karl really wants to get him back. He comes up with a good one, and writes the following on a piece of paper:
" YXZ
- YXY
= Y"
He shows it to Larry, and says, "Each different letter in this equation stands for a different digit. All instances of a given letter stand for the same digit. There are multiple true solutions, but what is the greatest digit that Y can stand for in a true solution?" Larry scans the equation over and over. He can't come up with any way that the answer could not be 4. "The answer must be four," he says, with confidence. Karl smiles and replies, "Sorry, you're incorrect."

What is the correct answer?

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 charlottes-odd Dec 17, 2013 Another good one eighsse! eighsse Dec 17, 2013 Thanks charlotte koin_era345 Dec 20, 2013 I don't know if this should be in trick, but I like it nonetheless. eighsse Dec 20, 2013 It's in Trick because at first sight, the X's will likely be considered letters, which must stand for digits. But they really are multiplication signs, not letters. The only other category I might consider it to be is Situation, as it's somewhat unfair to the solver, considering that the body of the teaser is typed with an actual letter "X" character. So it's written with a third-person perspective since an "X" and a multiplication sign, in writing, are generally interchangeable. This might make it more fit for Situation, but I still feel it is more of a Trick. dalfamnest Jul 04, 2014 As a trick, I think it's great - top marks!! Thanks for something new and different. eighsse Jul 04, 2014 Thanks dalfamnest, glad you enjoyed it Zag24 Jul 21, 2014 Nicely done. Of course, I can beat your solution with my own. No one said that the digits were DECIMAL digits. (Back in the old days, I used to have to add and subtract hexidecimal values all the time. But there's no reason these digits aren't in base 10000000.) eighsse Jul 21, 2014 Hah! This is true. Very nice, zag. sarggames Nov 04, 2014 AGAIN I DID IT flower-girl Mar 14, 2015 Too hard & boring. Captain_Obvious Mar 28, 2015 It's a good teaser but I don't really understand why Karl said Larry's answer was incorrect when the answer was 4 eighsse Mar 28, 2015 Because he asked what the LARGEST possible value is, not just any valid value. Eminem Jun 20, 2015 Solved it its 8 Eminem Jun 20, 2015 Solved it its 8 Eminem Jun 20, 2015 Solved it its 8 eighsse Jul 01, 2015 Good job, Eminem! Good job, Eminem! Good job, Eminem!