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 :

                (3*y-6)/9-((4-2*y)/(-3))=0 

Step by step solution :

Step  1  :

            4 - 2y
 Simplify   ——————
              -3  

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   4 - 2y  =   -2 • (y - 2) 

Equation at the end of step  2  :

  (3y - 6)    2 • (y - 2)
  ———————— -  ———————————  = 0 
     9             3     

Step  3  :

            3y - 6
 Simplify   ——————
              9   

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   3y - 6  =   3 • (y - 2) 

Equation at the end of step  4  :

  (y - 2)    2 • (y - 2)
  ——————— -  ———————————  = 0 
     3            3     

Step  5  :

Adding fractions which have a common denominator :

 5.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 (y-2) - (2 • (y-2))     2 - y
 ———————————————————  =  —————
          3                3  

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   2 - y  =   3 • (y - 2) 

Equation at the end of step  6  :

  y - 2  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    y-2 = 0 

 Add  2  to both sides of the equation : 
                      y = 2

One solution was found :