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 :

                     4*y-2/5-(3/5)=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

         2     3
  (4y -  —) -  —  = 0 
         5     5

Step  2  :

            2
 Simplify   —
            5

Equation at the end of step  2  :

         2     3
  (4y -  —) -  —  = 0 
         5     5

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

           4y     4y • 5
     4y =  ——  =  ——————
           1        5   

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:

 4y • 5 - (2)     20y - 2
 ————————————  =  ———————
      5              5   

Equation at the end of step  3  :

  (20y - 2)    3
  ————————— -  —  = 0 
      5        5

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   20y - 2  =   2 • (10y - 1) 

Adding fractions which have a common denominator :

 5.2       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:

 2 • (10y-1) - (3)     20y - 5
 —————————————————  =  ———————
         5                5   

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   20y - 5  =   5 • (4y - 1) 

Equation at the end of step  6  :

  4y - 1  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    4y-1 = 0 

 Add  1  to both sides of the equation : 
                      4y = 1
Divide both sides of the equation by 4:
                     y = 1/4 = 0.250

One solution was found :