0.02(y-5)+0.16y=0.10y-0.01(20)

Solution for 0.02(y-5)+0.16y=0.10y-0.01(20) equation:

Simplifying
0.02(y + -5) + 0.16y = 0.10y + -0.01(20)

Reorder the terms:
0.02(-5 + y) + 0.16y = 0.10y + -0.01(20)
(-5 * 0.02 + y * 0.02) + 0.16y = 0.10y + -0.01(20)
(-0.1 + 0.02y) + 0.16y = 0.10y + -0.01(20)

Combine like terms: 0.02y + 0.16y = 0.18y
-0.1 + 0.18y = 0.10y + -0.01(20)

Multiply -0.01 * 20
-0.1 + 0.18y = 0.10y + -0.2

Reorder the terms:
-0.1 + 0.18y = -0.2 + 0.10y

Solving
-0.1 + 0.18y = -0.2 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.1 + 0.18y + -0.10y = -0.2 + 0.10y + -0.10y

Combine like terms: 0.18y + -0.10y = 0.08y
-0.1 + 0.08y = -0.2 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.1 + 0.08y = -0.2 + 0.00
-0.1 + 0.08y = -0.2

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.08y = -0.2 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.08y = -0.2 + 0.1
0.08y = -0.2 + 0.1

Combine like terms: -0.2 + 0.1 = -0.1
0.08y = -0.1

Divide each side by '0.08'.
y = -1.25

Simplifying
y = -1.25