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1.
To split the cost of an item (typically an expensive one) among two or more people, thus creating multiple tranches or slices, hence the "slyce" part of the word. Usually, this is done among friends, hence the "home" part.
Alan: Hey, you wanna homeslyce some dinner?
John: Sure, I can neither afford nor finish a whole pizza.
by F-squared June 11, 2008