CAT 2025 Slot 3 — QA Question 9

If $12 ^ { 12 x } \times 4 ^ { 24 x + 12 } \times 5 ^ { 2 y } = 8 ^ { 4 z } \times 20 ^ { 12 x } \times 243 ^ { 3 x - 6 }$, where $x , y$ and $z$ are natural numbers, then $x + y + z$ equals