$$ -2 y-4(-6 y-6)=-4-6(-3-y) $$ One solution, and $$ y= $$

Question

UpStudy AI · Accepted Answer

We start with the given equation:
$$
-2y - 4(-6y - 6) = -4 - 6(-3 - y)
$$

**Step 1: Expand the parentheses**

On the left-hand side:
$$
-2y - 4(-6y - 6) = -2y + 24y + 24
$$
which simplifies to:
$$
22y + 24
$$

On the right-hand side:
$$
-4 - 6(-3 - y) = -4 + 18 + 6y
$$
which simplifies to:
$$
6y + 14
$$

**Step 2: Set the expanded expressions equal**

$$
22y + 24 = 6y + 14
$$

**Step 3: Isolate $$ y $$**

Subtract $$ 6y $$ from both sides:
$$
22y - 6y + 24 = 14 \quad \Longrightarrow \quad 16y + 24 = 14
$$

Subtract 24 from both sides:
$$
16y = 14 - 24 \quad \Longrightarrow \quad 16y = -10
$$

Divide both sides by 16:
$$
y = \frac{-10}{16} = -\frac{5}{8}
$$

So, the solution is:
$$
y = -\frac{5}{8}
$$
$$ y = -\frac{5}{8} $$

\( -2 y-4(-6 y-6)=-4-6(-3-y) \) One solution, and \( y= \)