Correct Consider the following equation. \[ x+5 y=2 y-2 \] Step 1 of 2 : Express the given equation in slope-intercept form. Simplify your answer.

Step 1 ：Consider the following equation: \(x+5y=2y-2\).

Step 2 ：Express the given equation in slope-intercept form. The slope-intercept form of a linear equation is \(y = mx + b\), where m is the slope and b is the y-intercept. To express the given equation in this form, we need to isolate y on one side of the equation.

Step 3 ：The equation in slope-intercept form is \(\boxed{y = -\frac{x}{3} - \frac{2}{3}}\).