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-(7*(y-9/7))=0 

Step by step solution :

Step  1  :

            9
 Simplify   —
            7

Equation at the end of step  1  :

                   9
  -3 -  (7 • (y -  —))  = 0 
                   7

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  7  as the denominator :

          y     y • 7
     y =  —  =  —————
          1       7  

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 :

 2.2       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 • 7 - (9)     7y - 9
 ———————————  =  ——————
      7            7   

Equation at the end of step  2  :

             (7y - 9)
  -3 -  (7 • ————————)  = 0 
                7    

Step  3  :

Equation at the end of step  3  :

  -3 -  (7y - 9)  = 0 

Step  4  :

Equation at the end of step  4  :

  6 - 7y  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    -7y+6 = 0 

 Subtract  6  from both sides of the equation : 
                      -7y = -6
Multiply both sides of the equation by (-1) :  7y = 6


Divide both sides of the equation by 7:
                     y = 6/7 = 0.857

One solution was found :