SOLUTION: i need the steps for the following problems 6(2+y)-4=-10 7(y-2)+8=3(y-4)-2 6(3+5y)+5(y-8)=13 2(f+3)-2.7=3(f+1.1)

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Question 23214: i need the steps for the following problems
6(2+y)-4=-10
7(y-2)+8=3(y-4)-2
6(3+5y)+5(y-8)=13
2(f+3)-2.7=3(f+1.1)
Answer by AnlytcPhil(1810)   (Show Source): You can put this solution on YOUR website!
 6(2 + y) - 4 = -10 

6·2 + 6·y - 4 = -10     *remove parentheses using distributive principle

 12  + 6y - 4 = -10

       8 + 6y = -10          *combine 12 and -4 to get 8 on left

   8 + 6y - 8 = -10 - 8      *subtract 8 from both sides

           6y = -18          *combine -10 and -8 on right

           6y    -18
           -- = -----        *divide both sides by -6
            6     6

            y = -3

---------------------------------------------------------------

 7(y-2) + 8 = 3(y-4) - 2    
 
7y - 14 + 8 = 3y - 12 - 2   *distributive principle

     7y - 6 = 3y - 14       *combining terms 
 
 7y - 6 + 6 = 3y - 14 + 6   *adding 6 to both sides

         7y = 3y - 8 

    7y - 3y = 3y - 8 - 3y   *subtracting 3y from both sides

         4y = -8            *combining terms

         4y     -8
        ---- = ----         *divide both sides by 4 
         4       4

           y = -2

-------------------------------------------------------------

   6(3+5y) + 5(y-8) = 13 

 18 + 30y + 5y - 40 = 13         *distributive principle

          -22 + 35y = 13         *combining terms
   
     -22 + 35y + 22 = 13 + 22    *adding 22 to both sides

                35y = 35         *combining terms

               35y     35
              ----- = ----       *dividing both sides by 35
                35     35

                  y = 1

-----------------------------------------------------------


    2(f+3) - 2.7 = 3(f+1.1)

    2f + 6 - 2.7 = 3f + 3.3        *distributive principle

        2f + 3.3 = 3f + 3.3        *combining terms  

  2f + 3.3 - 3.3 = 3f + 3.3 - 3.3  *subtracting 3.3 from both sides

              2f = 3f              *combining terms

         2f - 3f = 3f - 3f         *subtracting 3f from both sides

             -1f = 0               *combining terms

            -1f     0
           ----- = ---             *dividing both sides by -1
            -1     -1

              f = 0 

Edwin
AnlytcPhil@aol.com
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