To solve the expression \( 500 \cdot (35 + 105) - (567 + 1433) \cdot 5 \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Calculate the values inside the parentheses:
- \( 35 + 105 = 140 \)
- \( 567 + 1433 = 2000 \)
Substitute these values back into the expression:
\[ 500 \cdot 140 - 2000 \cdot 5 \]
Now, calculate the multiplication:
- \( 500 \cdot 140 = 70000 \)
- \( 2000 \cdot 5 = 10000 \)
Substitute these results back into the expression:
\[ 70000 - 10000 \]
Finally, perform the subtraction:
\[ 70000 - 10000 = 60000 \]
So, the final result is \( \boxed{60000} \).