0.16(y-4)+0.12y=0.20y-0.01(20)

Solution for 0.16(y-4)+0.12y=0.20y-0.01(20) equation:

Simplifying
0.16(y + -4) + 0.12y = 0.20y + -0.01(20)

Reorder the terms:
0.16(-4 + y) + 0.12y = 0.20y + -0.01(20)
(-4 * 0.16 + y * 0.16) + 0.12y = 0.20y + -0.01(20)
(-0.64 + 0.16y) + 0.12y = 0.20y + -0.01(20)

Combine like terms: 0.16y + 0.12y = 0.28y
-0.64 + 0.28y = 0.20y + -0.01(20)

Multiply -0.01 * 20
-0.64 + 0.28y = 0.20y + -0.2

Reorder the terms:
-0.64 + 0.28y = -0.2 + 0.20y

Solving
-0.64 + 0.28y = -0.2 + 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.
-0.64 + 0.28y + -0.20y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.28y + -0.20y = 0.08y
-0.64 + 0.08y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.64 + 0.08y = -0.2 + 0.00
-0.64 + 0.08y = -0.2

Add '0.64' to each side of the equation.
-0.64 + 0.64 + 0.08y = -0.2 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + 0.08y = -0.2 + 0.64
0.08y = -0.2 + 0.64

Combine like terms: -0.2 + 0.64 = 0.44
0.08y = 0.44

Divide each side by '0.08'.
y = 5.5

Simplifying
y = 5.5