2 Directions - Solve the proportion for $$ \mathbf{y} $$ : $$ \frac{8}{2 y-3}=\frac{6}{y+4} $$ $$ y=\square $$

Question

UpStudy AI · Accepted Answer

To solve the proportion for $$ y $$:

$$
\frac{8}{2y - 3} = \frac{6}{y + 4}
$$

**Step 1: Cross-Multiply**

$$
8(y + 4) = 6(2y - 3)
$$

**Step 2: Expand Both Sides**

$$
8y + 32 = 12y - 18
$$

**Step 3: Rearrange to Isolate $$ y $$**

$$
8y - 12y = -18 - 32
$$
$$
-4y = -50
$$

**Step 4: Solve for $$ y $$**

$$
y = \frac{-50}{-4} = \frac{50}{4} = \frac{25}{2}
$$

**Final Answer:**

$$
y = \frac{25}{2}
$$
$$ y = \frac{25}{2} $$

2 Directions - Solve the proportion for \( \mathbf{y} \) : \( \frac{8}{2 y-3}=\frac{6}{y+4} \) \( y=\square \)