0.06(y-5)+0.16y=0.18y-0.01(20)

Solution for 0.06(y-5)+0.16y=0.18y-0.01(20) equation:

Simplifying
0.06(y + -5) + 0.16y = 0.18y + -0.01(20)

Reorder the terms:
0.06(-5 + y) + 0.16y = 0.18y + -0.01(20)
(-5 * 0.06 + y * 0.06) + 0.16y = 0.18y + -0.01(20)
(-0.3 + 0.06y) + 0.16y = 0.18y + -0.01(20)

Combine like terms: 0.06y + 0.16y = 0.22y
-0.3 + 0.22y = 0.18y + -0.01(20)

Multiply -0.01 * 20
-0.3 + 0.22y = 0.18y + -0.2

Reorder the terms:
-0.3 + 0.22y = -0.2 + 0.18y

Solving
-0.3 + 0.22y = -0.2 + 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.
-0.3 + 0.22y + -0.18y = -0.2 + 0.18y + -0.18y

Combine like terms: 0.22y + -0.18y = 0.04y
-0.3 + 0.04y = -0.2 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.3 + 0.04y = -0.2 + 0.00
-0.3 + 0.04y = -0.2

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.04y = -0.2 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.04y = -0.2 + 0.3
0.04y = -0.2 + 0.3

Combine like terms: -0.2 + 0.3 = 0.1
0.04y = 0.1

Divide each side by '0.04'.
y = 2.5

Simplifying
y = 2.5