Problem

31. What is the value of $y$ in the equation,
\[
2 y+4(y+3) / 5-12=
\]

Answer

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Answer

\(\boxed{y = \frac{24}{7}}\)

Steps

Step 1 :First, we need to simplify the equation and solve for y.

Step 2 :\(2y + \frac{4(y+3)}{5} - 12 = 0\)

Step 3 :\(\frac{10y + 4(y+3) - 60}{5} = 0\)

Step 4 :\(10y + 4(y+3) - 60 = 0\)

Step 5 :\(10y + 4y + 12 - 60 = 0\)

Step 6 :\(14y - 48 = 0\)

Step 7 :\(14y = 48\)

Step 8 :\(y = \frac{48}{14}\)

Step 9 :\(\boxed{y = \frac{24}{7}}\)

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