I'm doing a bathroom remodel. I want to install a vent in the bath and tie it into the existing kitchen vent. The kitchen vent, on the other side of the shared interior wall, is for an over the stove microwave vent. It is 6" pipe with one 90 degree bend. The existing kitchen run is vertical from unit to just below the ceiling (it's contained in a soffit) , then the bend for the horizontal 6' run to the outside wall.
My plan is to open the bath wall at the ceiling/wall area to access the existing kitchen vent run, then tie in the bath vent with a Y connection. Will this vent properly? Or will the bathroom smell like bacon and the kitchen fog up from the shower??