SOLUTION: x=w/8+y/8+z/8 solve for y

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Question 606578: x=w/8+y/8+z/8
solve for y

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
To make things a little easier, let's first get rid of the denominators by multiplying both sides of the equations (all terms) by 8 to get:
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8x+=+%288%2Aw%29%2F8%2B%288%2Ay%29%2F8+%2B+%288%2Az%29%2F8
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Where an 8 appears in the numerator, it cancels with the 8 in the denominator:
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and we are left with:
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8x+=+w+%2B+y+%2B+z
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Now we want to get y by itself on one side of the equation and everything else on the other side. To do that we can subtract w and z from both sides of the equation:
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8x+-+w+-+z+=+w+%2B+y+%2B+z+-+w+-+z
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On the right side the w and the minus w cancel each other and also the z and the minus z cancel each other, and we are left with just y. So the equation is reduced to:
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8x+-+w+-+z+=+y
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Just transpose this (switch sides) to get it into the conventional form:
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y+=+8x+-+w+-+z
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And that's the answer to this problem. We have solved for y in terms of the other variables in the equation.
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Hope this helps you to understand what you were asked to do and how you would go about doing it.
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