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A is the average of numbers x and y. find the value of y in terms of A and x

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First we need to get the formula for calculating the average of two numbers which is easy because it is (x + y) / 2

So, the equation will be A = (x + y) / 2

Now all we have to do is get 'y' on one side and the rest of the equation on the opposite side and we will have our solution!

A = (x + y) / 2

A * 2 = (x + y) / 2 * 2 # This will get rid of the number 2 on the right hand side

A * 2 = x + y

A * 2 - x = x + y - x # Subtract the variable 'x' from each side.

A * 2 - x = y

And we can flip it around using the reflexive property of equality!

The answer is:

y = A * 2 - x

Hope this helps!

User Mbutan
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