# How do you simplify  (-6x + 2y - 3) + (2x - 4y - 7)?

Nov 10, 2015
• Open up the parentheses
• Sort x's, y's and constants
• Add the x's, y's and constants together

#### Explanation:

Since both of the sets of parentheses are positive, you can remove them. Keep in mind that when you have negative parentheses, for example -(a-b), you have to change the signs inside the parentheses, so you get -a -b.
This won't be a problem here, since we only have positive parentheses.

$\left(- 6 x + 2 y - 3\right) + \left(2 x - 4 y - 7\right)$
$= - 6 x + 2 y - 3 + 2 x - 4 y - 7$

Let's sort...

$- 6 x + 2 x + 2 y - 4 y - 3 - 7$

Add x's together, y's together and constants together...

$- 4 x - 2 y - 10$

You can eventually factorize $- 2$ out of the expression so you have $- 2 \left(2 x + y + 5\right)$