0.2(y-6)+0.12y=0.18y-0.3

Solution for 0.2(y-6)+0.12y=0.18y-0.3 equation:

Simplifying
0.2(y + -6) + 0.12y = 0.18y + -0.3

Reorder the terms:
0.2(-6 + y) + 0.12y = 0.18y + -0.3
(-6 * 0.2 + y * 0.2) + 0.12y = 0.18y + -0.3
(-1.2 + 0.2y) + 0.12y = 0.18y + -0.3

Combine like terms: 0.2y + 0.12y = 0.32y
-1.2 + 0.32y = 0.18y + -0.3

Reorder the terms:
-1.2 + 0.32y = -0.3 + 0.18y

Solving
-1.2 + 0.32y = -0.3 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-1.2 + 0.32y + -0.18y = -0.3 + 0.18y + -0.18y

Combine like terms: 0.32y + -0.18y = 0.14y
-1.2 + 0.14y = -0.3 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-1.2 + 0.14y = -0.3 + 0.00
-1.2 + 0.14y = -0.3

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.14y = -0.3 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.14y = -0.3 + 1.2
0.14y = -0.3 + 1.2

Combine like terms: -0.3 + 1.2 = 0.9
0.14y = 0.9

Divide each side by '0.14'.
y = 6.428571429

Simplifying
y = 6.428571429