Alimony should never be a lifetime. I recognize a man can be a dick and leave his wife, but shouldn’t getting the house, half his stuff, custody of the kids, and child support be enough.
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I might guess she would only get half the house. Half his stuff? Does she not have any stuff? Child support and child custody affect each other. Usually if custody is 50/50 there is no child support.
So no not necessarily. Each divorce needs to be looked at fairly. If she stepped out on him and has a drug habit and he takes full custody I might say she gets nothing at all. Every situation varies.