Question

Simplify the expression: (24−9)−(5y−1)

Answer 1

To simplify the expression (24−9)−(5y−1), start by solving within each set of parentheses: 24−9 becomes 15. Then distribute the negative sign to (5y−1) which changes 1 to +1, yielding 15 − 5y +1. Finally, combine like terms to get the simplified expression: 16 − 5y.

Step-by-step explanation:

To simplify the expression: (24−9)−(5y−1), we first simplify the arithmetic inside each set of parentheses and then apply the subtraction outside the parentheses.

The arithmetic inside the first set of parentheses gives us:

• 24 − 9 = 15

So now the expression is:

15 − (5y − 1)

Next, we simplify the second set of parentheses:

• Keep the 5y as is and change the sign of −1 to +1 when removing the parentheses, as subtraction changes the sign of the term inside.

Now the expression looks like:

15 − 5y + 1

Finally, we combine the constants:

• 15 + 1 = 16

Which leaves us with the simplified expression:

16 − 5y