1. **State the problem:** Calculate the value of the expression $(4 \times 6) + (5 \times 6) - (4 \times 3)$.\n\n2. **Recall the order of operations:** Multiplication and division are performed before addition and subtraction.\n\n3. **Calculate each multiplication:**\n- $4 \times 6 = 24$\n- $5 \times 6 = 30$\n- $4 \times 3 = 12$\n\n4. **Substitute these values back into the expression:**\n$$24 + 30 - 12$$\n\n5. **Perform addition and subtraction from left to right:**\n- $24 + 30 = 54$\n- $54 - 12 = 42$\n\n**Final answer:** $42$