Question

Apply the distributive property. $$-5(-y-7)$$

Short answer

The simplified expression of -5(-y-7) using the distributive property is \(5y + 35\)

Step-by-step solution

Multiplication of -5 and -y

When multiplying two numbers with different signs, the result will be positive. Thus, the product of -5 and -y will be positive and is 5y.

Multiplication of -5 and -7

The multiplication of -5 and -7, which are both negative numbers, also results in a positive number. Therefore, the result of -5 * -7 is 35.

Combining the Products

After these multiplications, the original expression, -5(-y-7), becomes 5y + 35.