To solve this equation, follow the order of operations:

Calculate the values inside the parentheses and brackets first:

43 * 20 = 860
860 + 708 = 1568
1568 + 199 = 1767

Substitute these values back into the original equation:

26.624:4 - 1767 / 3

Perform division first:

26.624 / 4 = 6.656

6.656 - 1767 / 3

Perform the final division:

1767 / 3 = 589

Subtract the two values:

6.656 - 589 = -582.344

Therefore, 26.624:4 - (43*20+708+199):3 = -582.344.