Let’s say Apple is buying $100 worth of new iPad factories with debt. How are all 3 statements affected at the start of “Year 1,” before anything else happens?

At the start of “Year 1,” before anything else has happened, there would be no changes on Apple’s Income Statement (yet).

On the Cash Flow Statement, the additional investment in factories would show up under Cash Flow from Investing as a net reduction in Cash Flow (so Cash Flow is down by $100 so far). And the additional $100 worth of debt raised would show up as an addition to Cash Flow, canceling out the investment activity. So the cash number stays the same.

On the Balance Sheet, there is now an additional $100 worth of factories in the Plants, Property & Equipment line, so PP&E is up by $100 and Assets is therefore up by $100. On the other side, debt is up by $100 as well and so both sides balance.