Show that the equation 155x -465y 35 has no integer solutions

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I mean
Show that the equation 155x -465y=35has no integer solutions
465 y = 155 x - 35

y = (155/465) x - 35/465

y = (1/3) x - 7/93

when x = 0
y = -7/93

no matter what you do starting with -7/93 going up with a slope of 1/3 it will be hard to get an integer y