https://file.aiquickdraw.com/mathbot/file/172720674682037r3ijtz.jpg

The equation you have presented in the photo is:

\[ 5 - 4y = 2y \]

To solve this equation for \(y\), we first need to get all the \(y\)-terms on one side and the constants on the other. We can start by subtracting \(2y\) from both sides:

\[ 5 - 4y - 2y = 0 \]
\[ 5 - 6y = 0 \]

Now, isolate \(y\) by moving the constant term to the other side:

\[ -6y = -5 \]

Finally, divide both sides by \(-6\) to solve for \(y\):

\[ y = \frac{-5}{-6} \]
\[ y = \frac{5}{6} \]

This results in the equation:

\[ y = \frac{5}{6} \]

Among the options you provided in the screenshot, none of them correctly reflects the isolated variable \(y\) as \( \frac{5}{6} \). It seems there might be an error in the provided options. Would you like further details or have any questions about this solution?

**Related Questions:**
1. How would you solve for \(y\) if the equation was \(5 - 4y = 3y\)?
2. What if the equation had an additional constant on the left side, like \(5 - 4y + 3 = 2y\)?
3. How would the solution change if it was \(5 - 4y = -2y\)?
4. Could you graph the equation \(5 - 4y = 2y\) to visualize the solution?
5. How can we check if our solution for \(y\) is correct by substituting back into the original equation?

**Tip:** Always rearrange equations to get all variables on one side and constants on the other to simplify solving for the unknown.

¿Cuál es el resultado correcto si se quiere dejar completamente sola la variable en el lado izquierdo de la siguiente ecuación? 5 - 4y = 2y

Learn how to solve the linear equation 5 - 4y = 2y by isolating the variable on one side. This problem is suitable for students in Grades 6-8 and covers algebraic concepts like variable isolation and linear equations.

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