1. **State the problem:** Fully factorise the expression $$18 - 6y + 15x$$ into single brackets. 2. **Identify common factors:** Look at each term: 18, -6y, and 15x. The coefficients are 18, -6, and 15. 3. **Find the greatest common factor (GCF):** The GCF of 18, 6, and 15 is 3. 4. **Factor out the GCF:** $$18 - 6y + 15x = 3(6 - 2y + 5x)$$ 5. **Check if the expression inside the bracket can be factored further:** The terms inside the bracket (6, -2y, 5x) have no common factors and cannot be factored further. 6. **Final answer:** $$3(6 - 2y + 5x)$$