book Maths Puzzle Numerical Ability

How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antifreeze? Use 6 step method

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(3x-2)^2=9x^2-6. Did I do this problem right? I just want to make sure before I hand it in. y+(9-8y)=65