0.12(y-6)+0.16y=0.08y-0.01(30)

Solution for 0.12(y-6)+0.16y=0.08y-0.01(30) equation:

Simplifying
0.12(y + -6) + 0.16y = 0.08y + -0.01(30)

Reorder the terms:
0.12(-6 + y) + 0.16y = 0.08y + -0.01(30)
(-6 * 0.12 + y * 0.12) + 0.16y = 0.08y + -0.01(30)
(-0.72 + 0.12y) + 0.16y = 0.08y + -0.01(30)

Combine like terms: 0.12y + 0.16y = 0.28y
-0.72 + 0.28y = 0.08y + -0.01(30)

Multiply -0.01 * 30
-0.72 + 0.28y = 0.08y + -0.3

Reorder the terms:
-0.72 + 0.28y = -0.3 + 0.08y

Solving
-0.72 + 0.28y = -0.3 + 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.
-0.72 + 0.28y + -0.08y = -0.3 + 0.08y + -0.08y

Combine like terms: 0.28y + -0.08y = 0.2y
-0.72 + 0.2y = -0.3 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.72 + 0.2y = -0.3 + 0.00
-0.72 + 0.2y = -0.3

Add '0.72' to each side of the equation.
-0.72 + 0.72 + 0.2y = -0.3 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + 0.2y = -0.3 + 0.72
0.2y = -0.3 + 0.72

Combine like terms: -0.3 + 0.72 = 0.42
0.2y = 0.42

Divide each side by '0.2'.
y = 2.1

Simplifying
y = 2.1