Questlon 12 Rewrite the equation in $$ A x+B y=C $$ form Use integers for $$ A, B $$, and $$ C $$. $$ y+6=5(x+4) $$

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To rewrite the equation $$ y + 6 = 5(x + 4) $$ in the form $$ A x + B y = C $$ with integer coefficients $$ A $$, $$ B $$, and $$ C $$, follow these steps:

1. **Expand the Right Side:**
   $$
   y + 6 = 5(x + 4) \
   y + 6 = 5x + 20
   $$

2. **Move All Terms to One Side to Achieve $$ A x + B y = C $$:**
   Subtract $$ y $$ and $$ 20 $$ from both sides:
   $$
   y + 6 - y - 20 = 5x + 20 - y - 20 \
   6 - 20 = 5x - y \
   -14 = 5x - y
   $$

3. **Rearrange the Equation:**
   To match the standard form $$ A x + B y = C $$, it's conventional to write the $$ x $$-term first, followed by the $$ y $$-term:
   $$
   5x - y = -14
   $$

**Final Answer:**
$$
5x - y = -14
$$
$$ 5x - y = -14 $$

Questlon 12 Rewrite the equation in \( A x+B y=C \) form Use integers for \( A, B \), and \( C \). \[ y+6=5(x+4) \]

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