Solve for $$ y $$. $$ 6(y-2)=2 y-40 $$ Simplify your answer as much as possible. $$ y=\square $$

Question

UpStudy AI · Accepted Answer

To solve for $$ y $$ in the equation:

$$
6(y - 2) = 2y - 40
$$

**Step 1:** Distribute the 6 on the left side:

$$
6y - 12 = 2y - 40
$$

**Step 2:** Subtract $$ 2y $$ from both sides to get all $$ y $$-terms on one side:

$$
6y - 2y - 12 = -40
$$
$$
4y - 12 = -40
$$

**Step 3:** Add 12 to both sides to isolate the $$ y $$-term:

$$
4y = -28
$$

**Step 4:** Divide both sides by 4 to solve for $$ y $$:

$$
y = \frac{-28}{4}
$$
$$
y = -7
$$

So, the solution is:

$$
y = -7
$$
$$ y = -7 $$

Solve for \( y \). \[ 6(y-2)=2 y-40 \] Simplify your answer as much as possible. \( y=\square \)