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y3=38\frac{y}{3}=\frac{3}{8}
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y

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8
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5 answers

To solve the equation \( y^3 = \frac{38y}{3} = \frac{3}{8} \), we will take each part step by step.

First, let's handle the equation \( y^3 = \frac{3}{8} \):

  1. Set the first part: \[ y^3 = \frac{3}{8} \] To find \( y \), take the cube root of both sides: \[ y = \sqrt[3]{\frac{3}{8}} = \frac{\sqrt[3]{3}}{\sqrt[3]{8}} = \frac{\sqrt[3]{3}}{2} \]

Now we can summarize this step:

\[ y = \frac{\sqrt[3]{3}}{2} \]

  1. Set the second part: Now let’s also consider the equation \( \frac{38y}{3} = \frac{3}{8} \):

    • Multiply both sides by 3 to eliminate the fraction: \[ 38y = \frac{3 \cdot 3}{8} \quad \Rightarrow \quad 38y = \frac{9}{8} \]
    • Now, divide by 38: \[ y = \frac{9}{8 \cdot 38} = \frac{9}{304} \]
  2. Combining results: So, we have two different solutions from both parts:

    • From the first part: \( y = \frac{\sqrt[3]{3}}{2} \)
    • From the second part: \( y = \frac{9}{304} \)

The final solutions for \( y \) are: \[ y = \frac{\sqrt[3]{3}}{2} \quad \text{or} \quad y = \frac{9}{304} \]

If you need both values as answers, they are: \[ y = \frac{\sqrt[3]{3}}{2} , \quad y = \frac{9}{304} \]

y/3=3/8 y=?

To solve the equation

\[ \frac{y}{3} = \frac{3}{8}, \]

we can start by multiplying both sides by 3 to eliminate the fraction:

\[ y = 3 \cdot \frac{3}{8}. \]

This simplifies to:

\[ y = \frac{9}{8}. \]

So the solution for \( y \) is

\[ y = \frac{9}{8}. \]

y/3=3/8 we are trying to figure out what y is

To solve the equation

\[ \frac{y}{3} = \frac{3}{8}, \]

you want to isolate \(y\). Here’s how you can do it step by step:

  1. Multiply both sides by 3 to get rid of the fraction:

    \[ y = 3 \cdot \frac{3}{8} \]

  2. Now multiply the right side:

    \[ y = \frac{9}{8} \]

Therefore, the value of \(y\) is

\[ y = \frac{9}{8}. \]