.5(2y+4)-8=-.25(12y-24)

Solution for .5(2y+4)-8=-.25(12y-24) equation:

Simplifying
0.5(2y + 4) + -8 = -0.25(12y + -24)

Reorder the terms:
0.5(4 + 2y) + -8 = -0.25(12y + -24)
(4 * 0.5 + 2y * 0.5) + -8 = -0.25(12y + -24)
(2 + 1y) + -8 = -0.25(12y + -24)

Reorder the terms:
2 + -8 + 1y = -0.25(12y + -24)

Combine like terms: 2 + -8 = -6
-6 + 1y = -0.25(12y + -24)

Reorder the terms:
-6 + 1y = -0.25(-24 + 12y)
-6 + 1y = (-24 * -0.25 + 12y * -0.25)
-6 + 1y = (6 + -3y)

Solving
-6 + 1y = 6 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
-6 + 1y + 3y = 6 + -3y + 3y

Combine like terms: 1y + 3y = 4y
-6 + 4y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 4y = 6 + 0
-6 + 4y = 6

Add '6' to each side of the equation.
-6 + 6 + 4y = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 6 + 6
4y = 6 + 6

Combine like terms: 6 + 6 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3