0.20(y-6)+0.10y=0.18y-1.5

Solution for 0.20(y-6)+0.10y=0.18y-1.5 equation:

Simplifying
0.20(y + -6) + 0.10y = 0.18y + -1.5

Reorder the terms:
0.20(-6 + y) + 0.10y = 0.18y + -1.5
(-6 * 0.20 + y * 0.20) + 0.10y = 0.18y + -1.5
(-1.2 + 0.20y) + 0.10y = 0.18y + -1.5

Combine like terms: 0.20y + 0.10y = 0.3y
-1.2 + 0.3y = 0.18y + -1.5

Reorder the terms:
-1.2 + 0.3y = -1.5 + 0.18y

Solving
-1.2 + 0.3y = -1.5 + 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 + 0.3y + -0.18y = -1.5 + 0.18y + -0.18y

Combine like terms: 0.3y + -0.18y = 0.12y
-1.2 + 0.12y = -1.5 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-1.2 + 0.12y = -1.5 + 0.00
-1.2 + 0.12y = -1.5

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.12y = -1.5 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.12y = -1.5 + 1.2
0.12y = -1.5 + 1.2

Combine like terms: -1.5 + 1.2 = -0.3
0.12y = -0.3

Divide each side by '0.12'.
y = -2.5

Simplifying
y = -2.5