It's difficult to estimate the exact cost of the flights, as prices vary depending on factors such as airline, time of year, and how far in advance the tickets are purchased. However, here are some estimates based on typical prices for each leg of the journey:

New York City to London: $400-$800
London to Dubai: $400-$700
Dubai to Singapore: $500-$1000
Singapore to Sydney: $400-$800
Sydney to Santiago: $1000-$1500
Santiago to Johannesburg: $800-$1200
Johannesburg to Cairo: $500-$900
Cairo to New York City: $800-$1200
So the total cost of the flights would likely be somewhere between $4,500 and $9,000, depending on the specific flights chosen and the time of year. Keep in mind that this is just an estimate and prices can vary widely, so it's important to shop around and compare prices to find the best deals.
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