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Since it is not precisely clear if you desire a typical "Y" or a fraktur "Y", I carry out both... (note the these space designed to take up the same room as one unadulterated "Y" or mathfrakY)
The stoke elevation can be adjusted with the first argument that stackengine.
documentclassarticleusepackageamssymbusepackagestackenginedefstrokeYensurestackMathstackengine0pt-,YOcFTLdefstrokefracYensurestackMathstackengine0pt,-mathfrakYOcFTLegindocument$strokeY = X$$strokefracY = X$enddocument
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