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 :

                     2-1/8*y-(11+7/8*y)=0 

Step by step solution :

Step  1  :

            7
 Simplify   —
            8

Equation at the end of step  1  :

      1          7
  (2-(—•y))-(11+(—•y))  = 0 
      8          8

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  8  as the denominator :

           11     11 • 8
     11 =  ——  =  ——————
           1        8   

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:

 11 • 8 + 7y     7y + 88
 ———————————  =  ———————
      8             8   

Equation at the end of step  2  :

         1          (7y + 88)
  (2 -  (— • y)) -  —————————  = 0 
         8              8    

Step  3  :

            1
 Simplify   —
            8

Equation at the end of step  3  :

         1          (7y + 88)
  (2 -  (— • y)) -  —————————  = 0 
         8              8    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  8  as the denominator :

          2     2 • 8
     2 =  —  =  —————
          1       8  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 2 • 8 - (y)     16 - y
 ———————————  =  ——————
      8            8   

Equation at the end of step  4  :

  (16 - y)    (7y + 88)
  ———————— -  —————————  = 0 
     8            8    

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:

 (16-y) - ((7y+88))     -8y - 72
 ——————————————————  =  ————————
         8                 8    

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -8y - 72  =   -8 • (y + 9) 

Equation at the end of step  6  :

  -y - 9  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    -y-9 = 0 

 Add  9  to both sides of the equation : 
                      -y = 9
Multiply both sides of the equation by (-1) :  y = -9

One solution was found :