Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.25" was replaced by "(125/100)".

Rearrange:

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

                     -8*(y-(125/100))-(4)=0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            4

Equation at the end of step  1  :

                   5       
  (0 -  (8 • (y -  —))) -  4  = 0 
                   4       

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  4  as the denominator :

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

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

Equation at the end of step  2  :

             (4y - 5)      
  (0 -  (8 • ————————)) -  4  = 0 
                4          

Step  3  :

Equation at the end of step  3  :

  (0 -  2 • (4y - 5)) -  4  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   6 - 8y  =   -2 • (4y - 3) 

Equation at the end of step  5  :

  -2 • (4y - 3)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 6.2      Solve  :    4y-3 = 0 

 Add  3  to both sides of the equation : 
                      4y = 3
Divide both sides of the equation by 4:
                     y = 3/4 = 0.750

One solution was found :