Question

solve for y: -7x + 2y = -5

Explanation:

Step1: Isolate the y-term

Add $7x$ to both sides.
$$-7x + 2y + 7x = -5 + 7x$$
$$2y = 7x - 5$$

Step2: Solve for y

Divide both sides by 2.
$$y = \frac{7x - 5}{2}$$
Or split the fraction:
$$y = \frac{7}{2}x - \frac{5}{2}$$

Answer:

$y = \frac{7}{2}x - \frac{5}{2}$ (or $y = \frac{7x - 5}{2}$)