0.20(y-8)+0.12y=0.04y-0.9

Solution for 0.20(y-8)+0.12y=0.04y-0.9 equation:

Simplifying
0.20(y + -8) + 0.12y = 0.04y + -0.9

Reorder the terms:
0.20(-8 + y) + 0.12y = 0.04y + -0.9
(-8 * 0.20 + y * 0.20) + 0.12y = 0.04y + -0.9
(-1.6 + 0.20y) + 0.12y = 0.04y + -0.9

Combine like terms: 0.20y + 0.12y = 0.32y
-1.6 + 0.32y = 0.04y + -0.9

Reorder the terms:
-1.6 + 0.32y = -0.9 + 0.04y

Solving
-1.6 + 0.32y = -0.9 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-1.6 + 0.32y + -0.04y = -0.9 + 0.04y + -0.04y

Combine like terms: 0.32y + -0.04y = 0.28y
-1.6 + 0.28y = -0.9 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-1.6 + 0.28y = -0.9 + 0.00
-1.6 + 0.28y = -0.9

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.28y = -0.9 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.28y = -0.9 + 1.6
0.28y = -0.9 + 1.6

Combine like terms: -0.9 + 1.6 = 0.7
0.28y = 0.7

Divide each side by '0.28'.
y = 2.5

Simplifying
y = 2.5