UK Property Law
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It's up to you to decide between each other how much equity each should receive in the event that the property is sold really, though it would seem sensible for you to receive a share of equity in the proportion which you have contributed (ie. 296-42) or perhaps a bit more if you partner has contributed to the mortgage repayments though if the amount they have paid is less than the rent that they would have to pay were they not living in the property then the increase should not be too big.
Is your partner to be named on the title and mortgage to the property or will they simply be living there?