Use the distributive property to multiply. 5(–2y + 2)

10 - 10y

Step-by-step explanation:

To use the distributive property, multiply each of the term (number) outside of the bracket with each of the terms inside the bracket. The distributive property creates a new expression that is equivalent.

The term outside is 5. The terms inside are -2y and 2. Multiply 5 by -2y to get the first new term. Then multiply 5 by 2 to get the second new term.

5(–2y + 2)         Distribute

= (-2y)(5) + (2)(5)       Multiply. This step does not need to be shown.

= -10y + 10     Rearrange so that it does not start with a negative sign.

= 10 - 10y        Switched the two terms.