# How do you simplify -( 5x - 3y ) - [ ( 7x + 6y ) - ( 5x + 9y ) ]?

Jun 16, 2018

$- \left(7 x - 6 y\right)$

#### Explanation:

As per the question, we have

$- \left(5 x - 3 y\right) - \left[\left(7 x + 6 y\right) - \left(5 x + 9 y\right)\right]$

$= - 5 x + 3 y - \left(7 x + 6 y - 5 x - 9 y\right)$

$= - 5 x + 3 y - \left(2 x - 3 y\right)$

$= - 5 x + 3 y - 2 x + 3 y$

$= - 7 x + 6 y$

$= - \left(7 x - 6 y\right)$