Question

solve the equation for y. justify each step.
equation: (-4x + 2y = 8)
explanation: write the equation.
reason: given, addition property of equality, division property of equality

options (equation/explanation steps):
(y = 2x - 6)
(y = 2x + 4)
(2y = 4x + 8)
(-4x = 8 - 2y)
add (4x) to each side.
subtract 2 from each side.
subtract (2y) from each side.
divide each side by 2.

Explanation:

Step1: Write the given equation

$-4x + 2y = 8$

Step2: Add $4x$ to both sides

$2y = 4x + 8$

Step3: Divide both sides by 2

$y = \frac{4x + 8}{2} = 2x + 4$

Answer:

Equation	Explanation	Reason
$2y = 4x + 8$	Add $4x$ to each side.	Addition Property of Equality
$y = 2x + 4$	Divide each side by 2.	Division Property of Equality