Understood, but I'm simply defining Y as not X. Within y, the distribution may not itself be homogeneous. There is also the issue of the regressive (and pernitious) nature of inflation on the Y.
-- The $8 Trillion "bridge loan" that finances this? Split pro-rata, of course, amongst the lower and middle class.
I don't think it will be split amongst the lower and middle class at all really. Upper middle class will end up paying for this. Unless you count the potential for a long-term deleterious effect on our economy, in which case we all get to pay for it :)