What is the justification for each step in solving the inequality?

75x+35≥7(11x+9)+475x+35≥7(11x+9)+4< br />
justify each step

75x+35≥7(11x+9)+475x+35≥7(11x+9)+4 given
75x+35≥77x+63+475x+35≥77x+63+4
75x+35≥77x+6775x+35≥77x+67
−2x+35≥67−2x+35≥67
−2x≥32−2x≥32
x≤−16x≤−16