0.12(y-5)+0.20y=0.08y-1.2

Solution for 0.12(y-5)+0.20y=0.08y-1.2 equation:

Simplifying
0.12(y + -5) + 0.20y = 0.08y + -1.2

Reorder the terms:
0.12(-5 + y) + 0.20y = 0.08y + -1.2
(-5 * 0.12 + y * 0.12) + 0.20y = 0.08y + -1.2
(-0.6 + 0.12y) + 0.20y = 0.08y + -1.2

Combine like terms: 0.12y + 0.20y = 0.32y
-0.6 + 0.32y = 0.08y + -1.2

Reorder the terms:
-0.6 + 0.32y = -1.2 + 0.08y

Solving
-0.6 + 0.32y = -1.2 + 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 + 0.32y + -0.08y = -1.2 + 0.08y + -0.08y

Combine like terms: 0.32y + -0.08y = 0.24y
-0.6 + 0.24y = -1.2 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.6 + 0.24y = -1.2 + 0.00
-0.6 + 0.24y = -1.2

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.24y = -1.2 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.24y = -1.2 + 0.6
0.24y = -1.2 + 0.6

Combine like terms: -1.2 + 0.6 = -0.6
0.24y = -0.6

Divide each side by '0.24'.
y = -2.5

Simplifying
y = -2.5