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Symbols like \( x \), \( y \), and \( z \) can be manipulated just like numbers can. You can add, subtract, multiply, or divide both sides of an equation by a symbol. To Solve for a variable means that you have only that variable on one side of the equation.
For example, let's say that I have an equation like this: $$ Z = X Y^2 + Y^3 X + (Y - X) XY $$ This equation would be referred to as "\( Z \) in terms of \( X \) and \( Y \)".
Imagine you have \( Z = \text{some long function that includes } X \text{ and } Y. \) Imagine that you are able to manipulate the equation so that instead, it looks like this: \( Y = \text{some long function that includes } Z \text{ and } X. \) This is called "Solving for \( Y \) in terms of \( X \) and \( Z \)."
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