What is the solution to the equation the fraction with numerator y and denominator y minus 4 minus the fraction with numerator 4 and denominator y plus 4 is equal to the fraction with numerator 32 and denominator y squared minus 16 ?

The denominators require y ≠ 4 and y ≠ −4. Combining the fractions on the left gives (y² + 16)/(y² − 16), so the equation implies y² + 16 = 32, or y² = 16. The resulting values, y = 4 and y = −4, are both excluded because they make a denominator zero; therefore, the correct choice is “no solution.”

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