@Jeremy James Hartman,
I see that you said you're new to this, so let's walk through your numbers (I'm assuming you are correct for this example)...
Purchase Price is $65k.
Rehab is $10k.
Total investment = $75k.
ARV = $100k.
1. A bank won't likely lend on this because it needs repairs. This means that you're not going to get a home loan (regular home loans are for people who live in them, not people who flip them). So, you'll need to talk to a hard money lender or a private lender to get funded.
2. With an ARV of $100k and you're all in investment of $75k, you're over the 70% rule (75/100 = 75%). It's extremely rare to find anyone willing to go past 70% on a flip. Assuming you can find a lender who is willing to give you the 70%, that means they only gave you $70k. You will need to bring $5k to the table to get the deal done (and that's not taking into account any down payment requirements, closing costs or other fees you will likely need to pay when you buy it; I'm guessing you'll be closer to $10-15k out of pocket).
3. Your math has an error in it. You said that you could pull out $35k after. On the surface, you're looking at a $25k profit. However, this is not a real number. NOTE: This is not a full & complete analysis... If you list the house for sale at $100k, you're going to incur 6% in commissions to the realtor. You need to plan for some concessions (I know it's a hot market and you may not have to conceed anything, but a $10k rehab isn't going to make the house super nice unless it's already super nice; it's not enough money to really make the place pop). I'd plan another 4% for that. Then, you need to plan for closing costs. It depends on what part of the country your in, but let's just say it's 1%. Then you have some carrying costs that you incurred while you held onto the property (taxes, insurance, utilities, etc.). Let's say that's another 1%. Then, you have interest costs from the loan you took out. For sake of simple math, I'm going to assume you got a smoking hot loan at 6%. I'm also going to assume that it took you 6 months to get this project done and off the books. If it takes you 6 months, that's half a year, so you'd pay half of the 6% for a 3% cost to the project. If I stop right now, I'm at 15% in costs. That 15% in costs equates out to $15k in profit you won't get. So, if I deduct the $15k from the $25k I thought I was going to make, I'm down to $10k. That's not a lot of profit at all. As a matter of fact, it's so small, the likelihood of it being real is unfortunately in the toilet. Something will go wrong. Your rehab is likely to go over budget. Every dollar you go over budget, reduces your profit. This is not a good deal. You need to buy it at a much steeper discount than this is you want to make money with little risk of losing any.
This is a very thin deal. If you told me you were buying this at $50k and it needed $20k of rehab, it would start to sound a lot closer to a real deal where the numbers may work (although, in my opinion, a 70% LTV on a low price property like this is very high risk to you as the buyer/borrower). I wouldn't go above 65% if it were me. If I can't get it for the price that I need for it to work, I'd move on.
It's difficult to give you all the details you need to succeed and analyze a deal in a message. But, I would strongly suggest that you use the deal analyzer that is built into BP; it's a great starting place.
You made a comment about how it looks like it's easy to find money. It can be. If/when you have a really good deal, it'll be easy. When you have a deal that you only think is a good deal, it will get turned down (no one ever presents a deal that they think is a bad deal).
Good luck. I truly hope you can find a really good deal.