Respuesta :
The solution to the given equation is 4 and -4.
What is a fraction?
Fractions are the numerical values that are a part of the whole.
A whole can be an object or a group of objects.
The given equation is;
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}[/tex]
A fraction is used to represent the portion/part of the whole thing.
The solution of the fraction is determined in the following steps given below.
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4[/tex]
Hence the solution to the given equation is 4 and -4.
Learn more about fractions here;
brainly.com/question/17431959
