Slope-intercept form is y = mx + b. We are trying to solve this equation for y to make it into slope-intercept form. Start by subtracting 2y from both sides of the equation.
y + 5x = -6, now subtract 5x from both sides of the equation.
y = -6 - 5x, to make this into proper slope-intercept form, re-arrange the terms so -5x is first. Your answer is y = -5x - 6.