Multiply both sides by $$ -\frac{12}{5} $$ $$ \square \cdot \frac{3}{4}=-\frac{12}{5} \cdot\left(-\frac{5}{12} y\right) $$

Question

UpStudy AI · Accepted Answer

Let's start by rewriting the equation you provided:

$$
\square \cdot \frac{3}{4} = -\frac{12}{5} \cdot \left(-\frac{5}{12} y\right)
$$

Now, we will multiply both sides by $$ -\frac{12}{5} $$.

### Step 1: Simplify the right side

First, let's simplify the right side of the equation:

$$
-\frac{12}{5} \cdot \left(-\frac{5}{12} y\right) = \frac{12}{5} \cdot \frac{5}{12} y
$$

The $$ - $$ signs cancel out, and we can simplify:

$$
\frac{12 \cdot 5}{5 \cdot 12} y = y
$$

So, the right side simplifies to $$ y $$.

### Step 2: Rewrite the equation

Now, we can rewrite the equation as:

$$
\square \cdot \frac{3}{4} = y
$$

### Step 3: Solve for $$ \square $$

To isolate $$ \square $$, we can multiply both sides by $$ \frac{4}{3} $$:

$$
\square = y \cdot \frac{4}{3}
$$

Thus, the final expression for $$ \square $$ is:

$$
\square = \frac{4}{3} y
$$

This is the solution to the equation.
$$ \square = \frac{4}{3} y $$

Multiply both sides by \( -\frac{12}{5} \) \( \square \cdot \frac{3}{4}=-\frac{12}{5} \cdot\left(-\frac{5}{12} y\right) \)