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Formula
Expand the expression
$4 \left( x+y \right) -3 \left( x-3y \right)$
$x + 13 y$
Organize polynomials
$\color{#FF6800}{ 4 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) - 3 \left ( x - 3 y \right )$
 Use the law of distribution 
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ 4 } \color{#FF6800}{ y } - 3 \left ( x - 3 y \right )$
$4 x + 4 y \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
 Organize the expression with the distributive law 
$4 x + 4 y \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + \color{#FF6800}{ 9 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ y }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } + \left ( 4 + 9 \right ) y$
 Organize the mononomial expression 
$\color{#FF6800}{ x } + \left ( 4 + 9 \right ) y$
$x + \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ y }$
 Arrange the constant term 
$x + \color{#FF6800}{ 13 } \color{#FF6800}{ y }$
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