Sure, the same. . Put money aside, means that you have money and you save it, "aside" here means somewhere safe, for later use, often for a specific purpose. So the idea is saving, but for the future, or maybe something specific in the future. The distinction is pretty much irrelevant to most things you would say. . He has been putting money aside for this trip for years. He has been saving his money for this trip for years. . "Save" can be used to mean, not spend. So for this meaning, they are not equivalent. . Save your money, I'll pay for the coffees. - ok Put you r money aside, I'll pay for the coffees. - strange thing to say. . There is also "save up". He's been saving up for a car. The idea being save until you reach some target, up till you reach some target.

Trusting. SOmeotimes it's good to wait for a few answers, to see if they all agree, or disagree. :) Enjoy.

They basically mean the same thing.