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Can anyone please explain how to combine equations in Physics?

I know that if you combine Boyle's law p ∝ 1/v or P x V is inversely proportional (as one goes up the the other goes down), Charles' law P/T is directly proportional, and the Gay Lussac's law p ∝ t pr P/T, that you get PV = nRT, the ideal gas equation.

I also know that if you combine Boyle's law and Charles' law, you get the combined gas equation PV/T.

But I just don't understand how you combine PV + P/T to get PV/T? And from thereon, how to ad nR to the equation to get pv = nRT?

I have tried rearranging PV = P/T, by multiplying the T on the right side to give PVT = P, and then dividing the PVT by the T to give PV/T = P, but this just doesn't seem to make sense as I still have the P on the right side, and it doesn't look right?

With PV/T, I dont understand how to get PV = nRT, because if I multiply the T from the PV/T I get PVT again, then if PVT = nR if I minus the T on the right side I get PV = nR - T.

So confused?
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Sam00
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Anyone?
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Sam00
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Please

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