0.16(y-6)+0.02y=0.08y-0.03(20)

Solution for 0.16(y-6)+0.02y=0.08y-0.03(20) equation:

Simplifying
0.16(y + -6) + 0.02y = 0.08y + -0.03(20)

Reorder the terms:
0.16(-6 + y) + 0.02y = 0.08y + -0.03(20)
(-6 * 0.16 + y * 0.16) + 0.02y = 0.08y + -0.03(20)
(-0.96 + 0.16y) + 0.02y = 0.08y + -0.03(20)

Combine like terms: 0.16y + 0.02y = 0.18y
-0.96 + 0.18y = 0.08y + -0.03(20)

Multiply -0.03 * 20
-0.96 + 0.18y = 0.08y + -0.6

Reorder the terms:
-0.96 + 0.18y = -0.6 + 0.08y

Solving
-0.96 + 0.18y = -0.6 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.96 + 0.18y + -0.08y = -0.6 + 0.08y + -0.08y

Combine like terms: 0.18y + -0.08y = 0.1y
-0.96 + 0.1y = -0.6 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.96 + 0.1y = -0.6 + 0.00
-0.96 + 0.1y = -0.6

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.1y = -0.6 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.1y = -0.6 + 0.96
0.1y = -0.6 + 0.96

Combine like terms: -0.6 + 0.96 = 0.36
0.1y = 0.36

Divide each side by '0.1'.
y = 3.6

Simplifying
y = 3.6