Question

Simplify each expression 2(x+y)-2y

Answer 1

Answer: 2x.

We are asked to solve the following:
`2(x+y)-2y`

This case involves both distribution and the combining of like terms, respectively.

1. Distribute "2" among the variables in the parentheses to arrive at our new expression of:
   `2x+2y-2y`
2. Combine the like terms 2y and - 2y. Our new expression looks like this:
   `2x`
3. Since there are no other like terms, we are left with the final answer of: 2x.

Answer 2

2x

Explanation:

2(x+y)-2y

= 2x+2y-2y

= 2x