The solution of the fraction given as -8/(2y - 8) = 5/(y + 4) - (7y + 8)/(y² - 16) is determined as 4 or - 0.25.
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.
The fraction given can be written as follows;
-8/(2y - 8) = 5/(y + 4) - (7y + 8)/(y² - 16)
-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.
Learn more about fraction here: https://brainly.com/question/78672
#SPJ1
