6+.5y=-2(3-.5y)

Solution for 6+.5y=-2(3-.5y) equation:

Simplifying
6 + 0.5y = -2(3 + -0.5y)
6 + 0.5y = (3 * -2 + -0.5y * -2)
6 + 0.5y = (-6 + 1y)

Solving
6 + 0.5y = -6 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 0.5y + -1y = -6 + 1y + -1y

Combine like terms: 0.5y + -1y = -0.5y
6 + -0.5y = -6 + 1y + -1y

Combine like terms: 1y + -1y = 0
6 + -0.5y = -6 + 0
6 + -0.5y = -6

Add '-6' to each side of the equation.
6 + -6 + -0.5y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5y = -6 + -6
-0.5y = -6 + -6

Combine like terms: -6 + -6 = -12
-0.5y = -12

Divide each side by '-0.5'.
y = 24

Simplifying
y = 24