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 :

                2*(40-5*y)-(10*y+5*(1-y))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (2 • (40 - 5y)) -  (10y +  5 • (1 - y))  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   40 - 5y  =   -5 • (y - 8) 

Equation at the end of step  3  :

  -10 • (y - 8) -  (5y + 5)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   75 - 15y  =   -15 • (y - 5) 

Equation at the end of step  5  :

  -15 • (y - 5)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -15   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    y-5 = 0 

 Add  5  to both sides of the equation : 
                      y = 5

One solution was found :