Sounds like you two are not on the same page yet. In order for this to work, you BOTH have to be willing to give some things up to get out of debt. That includes delaying purchases which haven't been adequately saved for.
You both need to sit down together and decide together what your goals are and how much each will cost. Right now it seems as if your top priority is to get out of debt and his is not. The first rule when you find yourself in a hole is to STOP DIGGING. Going further into the hole by adding debt (i.e.. financing anything) needs to be avoided - it just makes the hole that much deeper.
But you can't make him change his thinking - he has to want the debt gone too. Your explanation to him is correct - saving for the motorcycle will earn you interest while financing will cost additional money. But if he is not ready to see things that way, there's not much you can do about it.
One thing that might help is to give yourselves an allowance that can be used for whatever you choose. If he wants the motorcycle badly enough, he can save his allowance for that. Maybe you could also reach some type of agreement that if he earns extra money by selling stuff or getting a second job, some (or all) of that money can go toward the motorcycle savings.
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