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Formula
Expand the expression
$\left( 3x+2y \right) - \left( x- \left( 4x-y \right) \right)$
$6 x + y$
Organize polynomials
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \right )$
 Get rid of unnecessary parentheses 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \right )$
$3 x + 2 y - \left ( x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$3 x + 2 y - \left ( x \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ y } \right )$
$3 x + 2 y - \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right )$
 Organize the similar terms 
$3 x + 2 y - \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right )$
$3 x + 2 y - \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } + y \right )$
 Arrange the constant term 
$3 x + 2 y - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + y \right )$
$3 x + 2 y \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$3 x + 2 y + \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } + \left ( 2 - 1 \right ) y$
 Arrange the constant term 
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } + \left ( 2 - 1 \right ) y$
$6 x + \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ y }$
 Organize the mononomial expression 
$6 x + \color{#FF6800}{ y }$
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