Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Rearrange:

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

                     6*(y+(15/10))-(-18)=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

             3      
  (6 • (y +  —)) -  -18  = 0 
             2      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   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 :

 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 • 2 + 3     2y + 3
 —————————  =  ——————
     2           2   

Equation at the end of step  2  :

       (2y + 3)     
  (6 • ————————) -  -18  = 0 
          2         

Step  3  :

Equation at the end of step  3  :

  3 • (2y + 3) -  -18  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   6y + 27  =   3 • (2y + 9) 

Equation at the end of step  5  :

  3 • (2y + 9)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    3   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    2y+9 = 0 

 Subtract  9  from both sides of the equation : 
                      2y = -9
Divide both sides of the equation by 2:
                     y = -9/2 = -4.500

One solution was found :