Solving for y in a Linear Equation
We are given the equation $4x - 3y = 9$ and the value $x = 6$. We need to find the corresponding value of $y$.
Substitution Step
Substitute the given value of $x$ into the equation:
$4(6) - 3y = 9$
Equation Simplification
Simplify the equation:
$24 - 3y = 9$
Isolating the y Term
Subtract 24 from both sides to isolate the term containing $y$:
$ -3y = 9 - 24 $
$ -3y = -15 $
Calculating the Value of y
Divide both sides by -3 to solve for $y$:
$ y = \frac{-15}{-3} $
$ y = 5 $
Final Answer
The value of $y$ is 5.
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