.5(8y+4)-(y-4)=

Solution for .5(8y+4)-(y-4)= equation:

Simplifying
0.5(8y + 4) + -1(y + -4) = 0

Reorder the terms:
0.5(4 + 8y) + -1(y + -4) = 0
(4 * 0.5 + 8y * 0.5) + -1(y + -4) = 0
(2 + 4y) + -1(y + -4) = 0

Reorder the terms:
2 + 4y + -1(-4 + y) = 0
2 + 4y + (-4 * -1 + y * -1) = 0
2 + 4y + (4 + -1y) = 0

Reorder the terms:
2 + 4 + 4y + -1y = 0

Combine like terms: 2 + 4 = 6
6 + 4y + -1y = 0

Combine like terms: 4y + -1y = 3y
6 + 3y = 0

Solving
6 + 3y = 0

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 3y = 0 + -6

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

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

Divide each side by '3'.
y = -2

Simplifying
y = -2