Simplify the following equations (if needed) using boolean algebra and draw a circuit that represents the equation using 74_00, 74_02, 74_04, 74_08, 74_10, 74_20, 74_30 and 74_86 chips.

Y=B'C'DEF' + A'CDE'F'+A'BCE'F' + ABC'D'F+ A'B'C'D'E'F+A'B'CD'EF+ AB'C'D'E'F'

Y=B'C'D'EF+A'CDEF+AB'C'D'F + ABC'E'F' + A'B'C'DE'F' + A'B'CD'E'F'+ A'BCD'E'F

Y=DF + AC + D'EF' +A'BC' + A'C'D'F' + B'CE'F+A'BD'E+BC'EF' + AB'DE'

Please be very detailed in your work.