0.12(y-6)+0.14y=0.16y-0.2

Solution for 0.12(y-6)+0.14y=0.16y-0.2 equation:

Simplifying
0.12(y + -6) + 0.14y = 0.16y + -0.2

Reorder the terms:
0.12(-6 + y) + 0.14y = 0.16y + -0.2
(-6 * 0.12 + y * 0.12) + 0.14y = 0.16y + -0.2
(-0.72 + 0.12y) + 0.14y = 0.16y + -0.2

Combine like terms: 0.12y + 0.14y = 0.26y
-0.72 + 0.26y = 0.16y + -0.2

Reorder the terms:
-0.72 + 0.26y = -0.2 + 0.16y

Solving
-0.72 + 0.26y = -0.2 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.72 + 0.26y + -0.16y = -0.2 + 0.16y + -0.16y

Combine like terms: 0.26y + -0.16y = 0.1y
-0.72 + 0.1y = -0.2 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.72 + 0.1y = -0.2 + 0.00
-0.72 + 0.1y = -0.2

Add '0.72' to each side of the equation.
-0.72 + 0.72 + 0.1y = -0.2 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + 0.1y = -0.2 + 0.72
0.1y = -0.2 + 0.72

Combine like terms: -0.2 + 0.72 = 0.52
0.1y = 0.52

Divide each side by '0.1'.
y = 5.2

Simplifying
y = 5.2