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It doesn't look like any of these lines are parallel.. In order to have parallel lines, the slope of each line has to be equal.  Consider the slope intercept form of the 4 lines:

Line 1  y = -7x +6    slope is -7
Line 2  solving for y we get:  y = -3x -18  slope is -3
Line 3  y = -5x - 8  slope is -5
Line 4  y + 7 = -(1/7)(x + 4)  this is point-slope form with slope of -(1/7)
As you can see, none of these lines have the same slope.  As a result, none of them are parallel to each other.