Can a nursing home use an elderly person's home for payment if the home is also in two other peoples name?

If brothers were added to the deed within the 5 year look back, wouldn't Medicaid declare all to have an "equitable share" in the property? If yes, then wouldn't Mom have a 25% equity share of the home value? In this case doesn't the state get her 25% after her death or after the house is sold - whichever comes first?
I think this is a very relevant question because more families are becoming multi-generational due to the younger/middle aged family's economic distress plus aging parents who now or later desperately need their help. If relationships go well and one generation is supporting the other, I think families sometimes view that as giving to each other something of equal or greater value - regardless of dollar amounts.
Since Medicaid is so fixated on whether or not an asset is exchanged for equal or greater value the problem will become how to quantify the exchange. Medicaid basically ties the hands of families who may otherwise be able to combine resources to support each other.
It distresses me to see how Medicaid systematically destroys a family that is pooling it's resources to make it work out. I look at the broader picture too - pooling of resources is a worldwide practice during hard times.

Selma, it depends on when the brother's names were added to the Deed. If within 5 years, Medicaid would consider that to be a "gift", thus would deduct that amount from what Medicaid would pay.

Are you considering applying for Medicaid for your mother? Her house is an exempt asset as long as she is living.

Nursing homes expect to be paid in cash. If you can't show sufficient cash to pay for mom's care they are not particularly interested in accepting real estate for their services.