Modeling Equations with Variables on Both Sides

 $\ 2y\ +\ 27\ =\ \ 5y$  

 $-2y\ \ \ \ \ \ \ \ \ \ \ \ -2y$  

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 $\ \ \ \ \ \ \ \ \ \ 27\ =\ \ 3y$  

Now we have a one-step equation.

 $\ \ 9k\ +\ 6\ =\ \ 8k\ +\ 13$  

 $\ 7x\ =\ \ \ 2x\ -\ 20$  
 $-2x\ \ \ \ -2x$  
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 $\ 5x\ \ =\ -20$  

 $\ 14\ +\ 3n\ =\ \ 5n\ -\ 6$  
 $\ \ \ \ \ \ \ \ -5n\ \ \ \ \ -5n$  
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 $\ 14\ -\ 2n\ =\ -6$  

 $\ 14\ +\ \ 3n\ =\ \ 5n\ -\ 6$  
 $\ \ \ \ \ \ \ \ \ -3n\ \ \ \ \ -3n$  
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 $\ \ \ \ \ \ \ \ \ \ \ \ 14\ =\ \ 2n\ -\ 6$  
We can move all the variable terms to either side of the equation.