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

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Solution for 0.02(y-4)+0.16y=0.20y-0.01(20) equation: 


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

Reorder the terms:
0.02(-4 + y) + 0.16y = 0.20y + -0.01(20)
(-4 * 0.02 + y * 0.02) + 0.16y = 0.20y + -0.01(20)
(-0.08 + 0.02y) + 0.16y = 0.20y + -0.01(20)

Combine like terms: 0.02y + 0.16y = 0.18y
-0.08 + 0.18y = 0.20y + -0.01(20)

Multiply -0.01 * 20
-0.08 + 0.18y = 0.20y + -0.2

Reorder the terms:
-0.08 + 0.18y = -0.2 + 0.20y

Solving
-0.08 + 0.18y = -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.
-0.08 + 0.18y + -0.20y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.18y + -0.20y = -0.02y
-0.08 + -0.02y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.08 + -0.02y = -0.2 + 0.00
-0.08 + -0.02y = -0.2

Add '0.08' to each side of the equation.
-0.08 + 0.08 + -0.02y = -0.2 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + -0.02y = -0.2 + 0.08
-0.02y = -0.2 + 0.08

Combine like terms: -0.2 + 0.08 = -0.12
-0.02y = -0.12

Divide each side by '-0.02'.
y = 6

Simplifying
y = 6

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