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

Solution for 0.02(y-6)+0.12y=0.18y-0.3 equation:

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

Reorder the terms:
0.02(-6 + y) + 0.12y = 0.18y + -0.3
(-6 * 0.02 + y * 0.02) + 0.12y = 0.18y + -0.3
(-0.12 + 0.02y) + 0.12y = 0.18y + -0.3

Combine like terms: 0.02y + 0.12y = 0.14y
-0.12 + 0.14y = 0.18y + -0.3

Reorder the terms:
-0.12 + 0.14y = -0.3 + 0.18y

Solving
-0.12 + 0.14y = -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.
-0.12 + 0.14y + -0.18y = -0.3 + 0.18y + -0.18y

Combine like terms: 0.14y + -0.18y = -0.04y
-0.12 + -0.04y = -0.3 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.12 + -0.04y = -0.3 + 0.00
-0.12 + -0.04y = -0.3

Add '0.12' to each side of the equation.
-0.12 + 0.12 + -0.04y = -0.3 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + -0.04y = -0.3 + 0.12
-0.04y = -0.3 + 0.12

Combine like terms: -0.3 + 0.12 = -0.18
-0.04y = -0.18

Divide each side by '-0.04'.
y = 4.5

Simplifying
y = 4.5