0.20(y-4)+0.10y=0.02y-0.01

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Solution for 0.20(y-4)+0.10y=0.02y-0.01 equation: 


Simplifying
0.20(y + -4) + 0.10y = 0.02y + -0.01

Reorder the terms:
0.20(-4 + y) + 0.10y = 0.02y + -0.01
(-4 * 0.20 + y * 0.20) + 0.10y = 0.02y + -0.01
(-0.8 + 0.20y) + 0.10y = 0.02y + -0.01

Combine like terms: 0.20y + 0.10y = 0.3y
-0.8 + 0.3y = 0.02y + -0.01

Reorder the terms:
-0.8 + 0.3y = -0.01 + 0.02y

Solving
-0.8 + 0.3y = -0.01 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.8 + 0.3y + -0.02y = -0.01 + 0.02y + -0.02y

Combine like terms: 0.3y + -0.02y = 0.28y
-0.8 + 0.28y = -0.01 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.8 + 0.28y = -0.01 + 0.00
-0.8 + 0.28y = -0.01

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.28y = -0.01 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.28y = -0.01 + 0.8
0.28y = -0.01 + 0.8

Combine like terms: -0.01 + 0.8 = 0.79
0.28y = 0.79

Divide each side by '0.28'.
y = 2.821428571

Simplifying
y = 2.821428571

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