(435-167-89)-(435-89) simplifies to:

(179)-(346)

To subtract these two numbers, we line up the digits vertically:

179
- 346
______

Since we cannot subtract 6 from 9, we need to borrow from the tens place. We change the 7 to a 6 and add 10 to the 9, making it 19. Now we can subtract:

16
- 346
______

Starting from the rightmost column, we subtract 6 from 16, which gives us 10. In the next column, we subtract 4 from 1, but since 1 is smaller than 4, we need to borrow again. We change the 1 to 11 and subtract 4, which gives us 7. Finally, in the leftmost column, we subtract 3 from 1, but again, we need to borrow. We change the 1 to 11 and subtract 3, which gives us 8.

16
- 346
______
-170

Therefore, (435-167-89)-(435-89) equals -170.