Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "32.5" was replaced by "(325/10)". 2 more similar replacement(s)

Rearrange:

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

                7*(y+(45/10))-((325/10))=0 

Step by step solution :

Step  1  :

            65
 Simplify   ——
            2 

Equation at the end of step  1  :

             45      65
  (7 • (y +  ——)) -  ——  = 0 
             10      2 

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

             9      65
  (7 • (y +  —)) -  ——  = 0 
             2      2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

          y     y • 2
     y =  —  =  —————
          1       2  

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 • 2 + 9     2y + 9
 —————————  =  ——————
     2           2   

Equation at the end of step  3  :

       (2y + 9)     65
  (7 • ————————) -  ——  = 0 
          2         2 

Step  4  :

Equation at the end of step  4  :

  7 • (2y + 9)    65
  ———————————— -  ——  = 0 
       2          2 

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:

 7 • (2y+9) - (65)     14y - 2
 —————————————————  =  ———————
         2                2   

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   14y - 2  =   2 • (7y - 1) 

Equation at the end of step  6  :

  7y - 1  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    7y-1 = 0 

 Add  1  to both sides of the equation : 
                      7y = 1
Divide both sides of the equation by 7:
                     y = 1/7 = 0.143

One solution was found :