The simplified form of expression is (2y + 3).
Rewriting the provided mathematical expression first -
5/(y + 3) + 15/(y - 3)
Shifting the second expression on other side of equation -
5/(y + 3) = - 15/(y - 3)
Performing cross multiplication
5 (y - 3) = -15 (y + 3)
5y - 15 = -15y - 45
Rearranging the equation
5y - (-15y) = -45 - (-15)
Performing addition and subtraction
5y + 15y = -45 + 15
20y = -30
Dividing both sides of equation by 10
2y = - 3
Rearranging the equation -
2y + 3
Hence, the simplified form of expression is (2y + 3).
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