Hi,         

using the distributive Principle and combining Like terms 

  5(y+1)+2=8(y-1)+3 

 | Applying distibutive Principle

  5y +5 + 2 = 8y - 8 + 3

    5y + 7  = 8y - 5

 | combining like Terms by subtracting 5y from both sides of the equation

         7 = 3y - 5

 | combining like Terms by adding 5 to both sides of the equation

         12 = 3y

 | isolating y, the variable, on one side of the equation

 | Divided both sides by 3

          4 = y



CHECKING our Answer***

5(y+1)+2=8(y-1)+3 

 5*5 + 2 = 8*3 + 3 = 27



  

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