5y + 3 (y - 3) - 15 / y - 3

5y + 3y - 9 - 15/y - 3

8y - 9 - 15/y - 3

Multiply by y to rid the denomintor:

y (8y - 9 - 15/y - 3) = 8y^2 - 9y - 15 - 3y

                             = 8y^2 -12y -15

When simplifying an expression, go through the Order of Operations. 

This will help keep you from getting confused.

Original problem                                                                 5y + 3(y-3) - 15/y - 3

Parentheses - There are no like terms inside the

                       parentheses so there is nothing to simplify.

Exponents - There are no exponents.

Multiplication - Use the distributive property to

                        multiply 3(y-3)                                           5y + 3y - 9 - 15/y - 3  

Division - 15/y can't be simplified because there

                are no like terms

Addition  & Subtraction              Combine y variables           8y - 9 - 15/y - 3

                                                   Combine whole numbers    8y - 12 - 15/y

Hope this helps. :)

*Special Note - This explanation is based on the problem as it was presented.

If the 15 was divided by (y-3) instead of just (y), the answer

would be very different.

Hope this helps..

5y+3(y-3)-15/y-3

5y+3y-9-15/y-3  

8y-15/y-9-3

8y-15/y-12