Math homework, please help!

Solve for y, and justify each step.

0.5x - 0.75y = -2

\(0.5x - 0.75y = -2 \)          [ * (-1)

\(-0.5x + 0.75y = 2 \)          [ + 0.5x

\(0.75y = 2+0.5x\)              [ / 0.75

\(y= \frac{2+0.5x}{0.75}\)    [Computing counter by denominator

\(y= 2\frac{2}{3} +\frac{2}{3}x \)

Solve for y:
0.5 x-0.75 y = -2

0.5 x-0.75 y = x/2-(3 y)/4:
x/2-(3 y)/4 = -2

Subtract x/2 from both sides:
-(3 y)/4 = 1/2 (-4-x)

Multiply both sides by -4/3:
Answer: |y = (2 (x+4))/3

Solve for y:

0.5x-0.75y = -2  |  Given

-0.75y = -2-0.5x  |  Subtraction Property of Equality

y = 2.6+0.6x  |  Division Property of Equality

Sorry if it's wrong. I think that's how you'd solve it though.

(Also, the decimals are rounded.)

0.5 x-0.75 y = -2       subtract  0.5x from both sides

-0.75 y   =   - 0.5 x   - 2        multiply through by  -1

0.75y  = 0.5x  + 2        change the decimals to fractions

(3/4)y   = (1/2)x  + 2      multiply both sides b6y (4/3)

y  = (2/3)x + 8/3