How do you solve for y?
Understand the Problem
The question is about the process of isolating the variable 'y' in an equation, which can often involve algebraic manipulation. The context or specific equation is not provided, but typically, it would require rearranging the equation to express 'y' in terms of other variables or constants.
Answer
y = 3 - \frac{3x}{2}
Answer for screen readers
Steps to Solve
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Identify the equation with y
The first step is to write down the equation where you need to solve for $y$. The equation should contain $y$, along with other variables and constants. Let's use an example equation: $3x + 2y = 6$.
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Isolate the term with y
Move all other terms to the opposite side of the equation to isolate the $y$ term. This often involves adding or subtracting terms from both sides of the equation. For our example: $3x + 2y - 3x = 6 - 3x$
Simplified, you get: $2y = 6 - 3x$
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Isolate y by dividing
Divide both sides of the equation by the coefficient of $y$ to solve for $y$. Here, the coefficient is 2. So: $$ y = \frac{6 - 3x}{2} $$
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Simplify the equation if possible
Simplify the equation by performing the division if it is possible. In this case, you get: $$ y = 3 - \frac{3x}{2} $$
So the solution for $y$ is: $y = 3 - \frac{3x}{2}$
More Information
Solving for $y$ is a common algebraic task that involves isolating $y$ on one side of the equation. This requires understanding and applying inverse operations such as addition/subtraction and multiplication/division.
Tips
Common mistakes include not properly adding or subtracting terms from both sides of the equation and forgetting to divide by the coefficient of $y$.
