Question

solve for y: 7 = -3y + 8x

Explanation:

Step1: Isolate the y-term

Subtract $8x$ from both sides:
$7 - 8x = -3y$

Step2: Solve for y

Divide by $-3$ on both sides:
$\frac{7 - 8x}{-3} = y$

Step3: Simplify the expression

Rewrite to standard form:
$y = \frac{8x - 7}{3}$ or $y = \frac{8}{3}x - \frac{7}{3}$

Answer:

$y = \frac{8x - 7}{3}$ (or equivalent form $y = \frac{8}{3}x - \frac{7}{3}$)