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Formula
Solve the equation
Graph
$x = 5 y + 6 y - 81$
$x = 7 y + 102 + 65 y$
$x$Intercept
$\left ( - 81 , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 81 } { 11 } \right )$
$x$Intercept
$\left ( 102 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 17 } { 12 } \right )$
$5y+6y-81 = 7y+102+65y$
$y = - 3$
 Solve a solution to $y$
$\color{#FF6800}{ 5 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } - 81 = 7 y + 102 + 65 y$
 Calculate between similar terms 
$\color{#FF6800}{ 11 } \color{#FF6800}{ y } - 81 = 7 y + 102 + 65 y$
$11 y - 81 = \color{#FF6800}{ 7 } \color{#FF6800}{ y } + 102 \color{#FF6800}{ + } \color{#FF6800}{ 65 } \color{#FF6800}{ y }$
 Calculate between similar terms 
$11 y - 81 = \color{#FF6800}{ 72 } \color{#FF6800}{ y } + 102$
$11 y - 81 = \color{#FF6800}{ 72 } \color{#FF6800}{ y } + 102$
 Move the variable to the left-hand side and change the symbol 
$11 y - 81 \color{#FF6800}{ - } \color{#FF6800}{ 72 } \color{#FF6800}{ y } = 102$
$11 y \color{#FF6800}{ - } \color{#FF6800}{ 81 } - 72 y = 102$
 Move the constant to the right side and change the sign 
$11 y - 72 y = 102 \color{#FF6800}{ + } \color{#FF6800}{ 81 }$
$\color{#FF6800}{ 11 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 72 } \color{#FF6800}{ y } = 102 + 81$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 61 } \color{#FF6800}{ y } = 102 + 81$
$- 61 y = \color{#FF6800}{ 102 } \color{#FF6800}{ + } \color{#FF6800}{ 81 }$
 Add $102$ and $81$
$- 61 y = \color{#FF6800}{ 183 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 61 } \color{#FF6800}{ y } = \color{#FF6800}{ 183 }$
 Change the sign of both sides of the equation 
$61 y = - 183$
$\color{#FF6800}{ 61 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 183 }$
 Divide both sides by the same number 
$\color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
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