Questions: Solve the equation. (4 y+3)(y+6)=-3(4 y+3) The solution set is B. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Solution Steps

To solve the equation \((4y+3)(y+6) = -3(4y+3)\), we can first factor out the common term \((4y+3)\) from both sides. Then, solve the resulting equation for \(y\).

The given equation is \((4y+3)(y+6) = -3(4y+3)\). We can factor out the common term \((4y+3)\) from both sides:

\[ (4y+3)((y+6) + 3) = 0 \]

This gives us two possible equations to solve:

1. \(4y + 3 = 0\)
2. \(y + 6 + 3 = 0\)

\[ 4y = -3 \implies y = -\frac{3}{4} \]

\[ y = -9 \]

Final Answer