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.