The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem?
y = 2x + 1 and 3x + 6 = y
y = 2x + 1 and y + 6 = 3x
y = 2 (x + 1) and y + 6 = 3x
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