0.04(y-5)+0.10y=0.20y-0.01

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Solution for 0.04(y-5)+0.10y=0.20y-0.01 equation: 


Simplifying
0.04(y + -5) + 0.10y = 0.20y + -0.01

Reorder the terms:
0.04(-5 + y) + 0.10y = 0.20y + -0.01
(-5 * 0.04 + y * 0.04) + 0.10y = 0.20y + -0.01
(-0.2 + 0.04y) + 0.10y = 0.20y + -0.01

Combine like terms: 0.04y + 0.10y = 0.14y
-0.2 + 0.14y = 0.20y + -0.01

Reorder the terms:
-0.2 + 0.14y = -0.01 + 0.20y

Solving
-0.2 + 0.14y = -0.01 + 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.
-0.2 + 0.14y + -0.20y = -0.01 + 0.20y + -0.20y

Combine like terms: 0.14y + -0.20y = -0.06y
-0.2 + -0.06y = -0.01 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.2 + -0.06y = -0.01 + 0.00
-0.2 + -0.06y = -0.01

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.06y = -0.01 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.06y = -0.01 + 0.2
-0.06y = -0.01 + 0.2

Combine like terms: -0.01 + 0.2 = 0.19
-0.06y = 0.19

Divide each side by '-0.06'.
y = -3.166666667

Simplifying
y = -3.166666667

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