Question

Simplify the following:

$6x-\left[5y-2\left\{3x-2\left(3x-x-y\right)\right\}\right]$

Answer 1

Simplifying the expression

$$\begin{gathered} 6x-\left[5y-2\left\{3x-2\left(3x-x-y\right)\right\}\right]=6x-\left[5y-2\left\{3x-2\left(2x-y\right)\right\}\right] \\ =6x-\left[5y-2\left\{3x-4x+2y\right\}\right] \\ =6x-\left[5y-6x+8x-4y\right] \\ =6x-\left[-6x+8x+5y-4y\right] \\ =6x-\left[2x+y\right] \\ =6x-2x-y \\ =4x-y \end{gathered}$$

Hence, the simplified expression of the given algebraic expression is $4x-y$