Home charging costs would only depend on your cost per kWh and how many miles you drive per month or per year.
First, look at a recent electric utility bill and divide the total charges ($) by the number of kWh consumed for the billing period. This will tell you your cost per kWh including all taxes, tariffs and any add-on fees.
Estimate your weekly, monthly or annual miles driven. Typically this is right around 30 miles per day, 900 miles per month or ~11,000 miles per year.
Using 270 Watt hours per mile (0.270 kWh/mile), a value that is neither particularly efficient or inefficient and accounts for seasonal increase in energy usage in winter, you can determine how many kWh you will use per month and per year. Example: 900 miles * 0.270 kWh/mile = 243 kWh. If you determine that your cost per kWh is $0.15 then you could expect your utility bill to increase by ~$36.50. You can also estimate your cost per mile (for electricity) at $36.50 / 900 miles = $0.04 per mile. Not included in this energy cost is the cost of preconditioning while the Tesla Model Y is parked (preconditioning can also activate battery warming when the battery is cold.) So while your cost per mile for driving might be $0.04 per mile when you add in the cost of preconditioning it could be a bit more than ~$0.05 per mile.