Answer:Equation 1) x=3Equation 2) b=7Equation 3) y=-2Equation 4) c=-3Step-by-step explanation:#1: 1/4x+5/3x-4=2-1/12x1) Combine Alike terms:23/12x-4=2-1/12x2) Add 1/12x to both sides:2x-4=23) Add 4 to both sides:2x=64) Divide both sides by 2:x=3#2: 3.2b-4.7=3b-3.31) Add 4.7 to both sides:3.2b=3b+1.42) Subtract 3b from both sides:0.2b=1.43) Divide both sides by 0.2:b=7#3: 4.6y-y+4=y-1.21) Combine alike terms:3.6y+4=y-1.22) Subtract y from both sides:2.6y+4=-1.23) Subtract 4 from both sides:2.6y=-5.24) Divide both sides by 2.6:y=-2#4: 7.5c-2.5c+8=-71) Combine alike terms:5c+8=-72) Subtract 8 from both sides:5c=-153) Divide both sides by 5:c=-3