Find the value of the variable y, for which:
the difference between the fractions 6 y−4 and y y+2 is equal to their product.

The value of the variable y is

Explanation:

The given equation is

Taking LCM on LHS of the equation, we get,

Simplifying the term on RHS of the equation, we get,

Since, both the sides of the equation have the same denominator, we can cancel them.

Thus, we have,

Multiplying the terms within the bracket, we get,

Adding the like terms, we have,

Subtracting both sides by , we have,

Factoring the equation, we get,

The values of the variable y are

At the point , the equation becomes undefined.

Thus, the value of the variable y is

whatvare the choices

step-by-step explanation: