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Default Subtract 10 months from a Speficic Date

I have a spreadsheet with an Eligibility Date for Upgrades, which is 10
months after it was upgraded. I need to determine when the device was
originally updated. To do this, I need to subtract 10 months from the
Eligibility Date. I've used the below formula but receive the #VALUE error.
=DATE(YEAR(Q3),MONTH(Q3)-6,DAY(Q3))

Is there another formula I need to use to retrieve 10 months before the
eligibility date? This eligiblity date is a vlookup from another excel
spreadsheet, does this factor in when having the specific formula?

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