Question

Literal equations: Solve for Y: 3X-2Y=8

Answer 1

$\sf 3X-2Y=8\\Add ~2 ~on~ both~ sides~ \\ 3X = 2Y + 8\\ Subtract~ 8~ on~ both~ sides \\ 3X - 8 = 2Y\\Divide~ 2~ on~ both~ sides\\ Y= \frac{3X}{2} - \frac{8}{2} \\\\Y = \frac{3X}{2} -4$

Answer 2

$3x-2y=8\ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\3x-3x-2y=8-3x\\\\-2y=8-3x\ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\-2y:(-2)=8:(-2)-3x:(-2)\\\\y=-4+\dfrac{3}{2}x\\\\\huge\boxed{y=\frac{3}{2}x-4}$