(24-360÷y)×9=135

To solve the equation (24-360÷y)×9=135, we can follow these steps:

1. Start by simplifying the expression inside the parentheses: 360 ÷ y = 360/y The equation becomes: (24 - 360/y) × 9 = 135

2. Distribute the 9 to both terms inside the parentheses: 9 × 24 - 9 × (360/y) = 135

3. Simplify further: 216 - (9 × 360)/y = 135

4. Multiply both sides of the equation by y to eliminate the fraction: (216y - 9 × 360) = 135y

5. Combine like terms: 216y - 3240 = 135y

6. Subtract 135y from both sides: 216y - 135y - 3240 = 0

7. Simplify: 81y - 3240 = 0

8. Add 3240 to both sides: 81y = 3240

9. Divide both sides by 81 to solve for y: y = 3240/81

10. Simplify: y = 40

Therefore, the solution to the equation (24-360÷y)×9=135 is y = 40.