0.10(y-6)+0.18y=0.20y-0.03(10)

Solution for 0.10(y-6)+0.18y=0.20y-0.03(10) equation:

Simplifying
0.10(y + -6) + 0.18y = 0.20y + -0.03(10)

Reorder the terms:
0.10(-6 + y) + 0.18y = 0.20y + -0.03(10)
(-6 * 0.10 + y * 0.10) + 0.18y = 0.20y + -0.03(10)
(-0.6 + 0.10y) + 0.18y = 0.20y + -0.03(10)

Combine like terms: 0.10y + 0.18y = 0.28y
-0.6 + 0.28y = 0.20y + -0.03(10)

Multiply -0.03 * 10
-0.6 + 0.28y = 0.20y + -0.3

Reorder the terms:
-0.6 + 0.28y = -0.3 + 0.20y

Solving
-0.6 + 0.28y = -0.3 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.6 + 0.28y + -0.20y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.28y + -0.20y = 0.08y
-0.6 + 0.08y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.6 + 0.08y = -0.3 + 0.00
-0.6 + 0.08y = -0.3

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.08y = -0.3 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.08y = -0.3 + 0.6
0.08y = -0.3 + 0.6

Combine like terms: -0.3 + 0.6 = 0.3
0.08y = 0.3

Divide each side by '0.08'.
y = 3.75

Simplifying
y = 3.75