Question 1021406
this is not an equation.
it's an expression.


for it to be an equation, it would have to have an equal sign with an expression on the left and an expresion on the right side of the equal sign.


the expression is:


2(x-y) + 3 + (x+y) - 2(x+1)


you want to remove parentheses.


2(x-y) = 2x - 2y
 + (x+y) = +1 * (x+y) =  x + y
- 2(x+1) = -2 * (x+1) = -2x - 2


your expression becomes:


2x - 2y + 3 + x + y - 2x - 2


combine like terms to get:

2x + x - 2x = x
-2y + y = -y
3 - 2 = 1


the result is:


x - y + 1


you can easily confirm you that did it right by assigning random numbers to x and y and solving both the original expression and the final expression.


for example, when x = 3 and y = 5, the original expression give you -1 and the final expression will give you -1.


since the answers are the same, then the simplification looks good.


this is not a fool proof way of confirming, but it's reasonably good.


to be more sure then pick two other random numbers and do the same thing.


if those are good, then the probability is even greater that you got it right.