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1. The solution of the fraction given as -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16) is determined as 4 or – 0.25.

   What is fraction?

   A fraction represents a part of a whole or, more generally, any number of equal parts.

   A fraction  can also be described as how many parts of a certain size there are, in a given whole.

   Solution of the fraction

   The fraction given can be written as follows;

   -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16)

   simplify as follows;

   -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y – 4)(y+4)

   -8/(2y – 8)  = [5(y – 4) – (7y + 8)] /(y-4)(y + 4)

   -8/(2y – 8)  = (5y – 20 + 7y + 8)/(y-4)(y + 4)

   -8/(2y – 8)  = (12y – 12)/(y-4)(y + 4)

   cross and multiply both sides of the equation;

   -8((y-4)(y + 4)) = (12y – 12)(2y – 8)

   -8(y² – 16) = 24y² – 96y – 24y + 96

   -8y² + 128 =  24y² – 120y + 96

   0 = 32y² – 120y – 32

   solve the quadratic equation using formula method;

   a = 32, b = -120, c = – 32

   y = 4 or -0.25

   Thus, the solution of the fraction given as -8/(2y – 8) = 5/(y + 4) – (7y + 8)/(y² – 16) is determined as 4 or – 0.25.

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