The equation in the image is:

$3x + 4y + 5 = 0$

This is a linear equation in two variables, $x$ and $y$. To simplify or rearrange this equation, we can express it in a more common form, such as slope-intercept form ($y = mx + b$) or standard form ($Ax + By = C$).

Let’s first solve for $y$:

$3x + 4y + 5 = 0$ Subtract $3x$ and $5$ from both sides: $4y = -3x - 5$ Now, divide both sides by 4 to solve for $y$: $y = -\frac{3}{4}x - \frac{5}{4}$

This is the equation in slope-intercept form ($y = mx + b$), where the slope $m = -\frac{3}{4}$ and the y-intercept $b = -\frac{5}{4}$.

Would you like more details on this process or have any specific questions?

Here are five related questions:

1. How do you graph the equation $3x + 4y + 5 = 0$?
2. What is the x-intercept of the equation $3x + 4y + 5 = 0$?
3. How do you convert the equation into standard form?
4. What is the slope of the line represented by this equation?
5. How can this equation be used to find points on the line?

Tip: When solving for $y$ in an equation, always try to isolate $y$ on one side to put the equation in a useful form, like the slope-intercept form.