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

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

Simplifying
0.6(y + 6) = 0.5y + -2

Reorder the terms:
0.6(6 + y) = 0.5y + -2
(6 * 0.6 + y * 0.6) = 0.5y + -2
(3.6 + 0.6y) = 0.5y + -2

Reorder the terms:
3.6 + 0.6y = -2 + 0.5y

Solving
3.6 + 0.6y = -2 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
3.6 + 0.6y + -0.5y = -2 + 0.5y + -0.5y

Combine like terms: 0.6y + -0.5y = 0.1y
3.6 + 0.1y = -2 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
3.6 + 0.1y = -2 + 0.0
3.6 + 0.1y = -2

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 0.1y = -2 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 0.1y = -2 + -3.6
0.1y = -2 + -3.6

Combine like terms: -2 + -3.6 = -5.6
0.1y = -5.6

Divide each side by '0.1'.
y = -56

Simplifying
y = -56