Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     6*(2+y)-(3*(3-y))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (6 • (y + 2)) -  3 • (3 - y)  = 0 

Step  2  :

Equation at the end of step  2  :

  6 • (y + 2) -  3 • (3 - y)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   9y + 3  =   3 • (3y + 1) 

Equation at the end of step  4  :

  3 • (3y + 1)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    3   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 5.2      Solve  :    3y+1 = 0 

 Subtract  1  from both sides of the equation : 
                      3y = -1
Divide both sides of the equation by 3:
                     y = -1/3 = -0.333

One solution was found :