0.12(y-5)+0.16y=0.08y-0.5

Solution for 0.12(y-5)+0.16y=0.08y-0.5 equation:

Simplifying
0.12(y + -5) + 0.16y = 0.08y + -0.5

Reorder the terms:
0.12(-5 + y) + 0.16y = 0.08y + -0.5
(-5 * 0.12 + y * 0.12) + 0.16y = 0.08y + -0.5
(-0.6 + 0.12y) + 0.16y = 0.08y + -0.5

Combine like terms: 0.12y + 0.16y = 0.28y
-0.6 + 0.28y = 0.08y + -0.5

Reorder the terms:
-0.6 + 0.28y = -0.5 + 0.08y

Solving
-0.6 + 0.28y = -0.5 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.6 + 0.28y + -0.08y = -0.5 + 0.08y + -0.08y

Combine like terms: 0.28y + -0.08y = 0.2y
-0.6 + 0.2y = -0.5 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.6 + 0.2y = -0.5 + 0.00
-0.6 + 0.2y = -0.5

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.2y = -0.5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.2y = -0.5 + 0.6
0.2y = -0.5 + 0.6

Combine like terms: -0.5 + 0.6 = 0.1
0.2y = 0.1

Divide each side by '0.2'.
y = 0.5

Simplifying
y = 0.5