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Given, mean of 6, 7, x, 8, y, 14 is 9
=> (6 + 7 + x + 8 + y + 14)/6 = 9
=> (35 + x + y)/6 = 9
=> 35 + x + y = 9 * 6
=> 35 + x + y = 54
=> x + y = 54 - 35
=> x + y = 19
So, the value of x + y is 19