# How do you write y+4 = 2/3(x+7) in standard form?

$y = \frac{2}{3} x + \frac{2}{3}$
$y + 4 = \frac{2}{3} \left(x + 7\right)$
$y = \frac{2}{3} \left(x + 7\right) - 4$ taking 4 from both sides/moving 4 from LHS to RHS
$y = \frac{2}{3} x + \frac{14}{3} - 4$ expanding bracket
$y = \frac{2}{3} x + \frac{2}{3}$ simplifying