Solution - Adding, subtracting and finding the least common multiple

Rearrange:

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

                     y-4/3-(11/3)=0 

Step by step solution :

Step  1  :

            11
 Simplify   ——
            3 

Equation at the end of step  1  :

        4     11
  (y -  —) -  ——  = 0 
        3     3 

Step  2  :

            4
 Simplify   —
            3

Equation at the end of step  2  :

        4     11
  (y -  —) -  ——  = 0 
        3     3 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

          y     y • 3
     y =  —  =  —————
          1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now 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 • 3 - (4)     3y - 4
 ———————————  =  ——————
      3            3   

Equation at the end of step  3  :

  (3y - 4)    11
  ———————— -  ——  = 0 
     3        3 

Step  4  :

Adding fractions which have a common denominator :

 4.1       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:

 (3y-4) - (11)     3y - 15
 —————————————  =  ———————
       3              3   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   3y - 15  =   3 • (y - 5) 

Equation at the end of step  5  :

  y - 5  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    y-5 = 0 

 Add  5  to both sides of the equation : 
                      y = 5

One solution was found :