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Formula
Expand the expression
$2x-3 \{ x- \left( 4x+3y \right) +5y \}$
$11 x - 6 y$
Organize polynomials
$2 x - 3 \left ( x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right ) + 5 y \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$2 x - 3 \left ( x \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } + 5 y \right )$
$2 x - 3 \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right )$
 Organize the similar terms 
$2 x - 3 \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ y } \right )$
$2 x - 3 \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } + \left ( - 3 + 5 \right ) y \right )$
 Arrange the constant term 
$2 x - 3 \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + \left ( - 3 + 5 \right ) y \right )$
$2 x - 3 \left ( - 3 x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ y } \right )$
 Arrange the constant term 
$2 x - 3 \left ( - 3 x + \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
$2 x \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
 Organize the expression with the distributive law 
$2 x + \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ x } - 6 y$
 Arrange the constant term 
$\color{#FF6800}{ 11 } \color{#FF6800}{ x } - 6 y$
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