Questions: Solve for y. 5y/4 + 3 = 7y/6 Simplify your answer as much as possible. y=

Solve for y. 5y/4 + 3 = 7y/6 Simplify your answer as much as possible. y=
Transcript text: Solve for $y$. \[ \frac{5 y}{4}+3=\frac{7 y}{6} \] Simplify your answer as much as possible. \[ y= \]
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Solution

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Solution Steps

Step 1: Bring all terms involving y to one side and constants to the other
$\frac{a y}{b} - \frac{d y}{e} = -c \Rightarrow \frac{5}{4}y - \frac{7}{6}y = -3$
Step 2: Find a common denominator for the fractions involving y, combine them, and solve for y
$y = \frac{-c * b * e}{a_e - d_b} = \frac{-3 * 4 * 6}{5_6 - 7_4}$

Final Answer: $y = -36$

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