0.04(y-4)+0.20y=0.10y-1

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Solution for 0.04(y-4)+0.20y=0.10y-1 equation: 


Simplifying
0.04(y + -4) + 0.20y = 0.10y + -1

Reorder the terms:
0.04(-4 + y) + 0.20y = 0.10y + -1
(-4 * 0.04 + y * 0.04) + 0.20y = 0.10y + -1
(-0.16 + 0.04y) + 0.20y = 0.10y + -1

Combine like terms: 0.04y + 0.20y = 0.24y
-0.16 + 0.24y = 0.10y + -1

Reorder the terms:
-0.16 + 0.24y = -1 + 0.10y

Solving
-0.16 + 0.24y = -1 + 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.
-0.16 + 0.24y + -0.10y = -1 + 0.10y + -0.10y

Combine like terms: 0.24y + -0.10y = 0.14y
-0.16 + 0.14y = -1 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.16 + 0.14y = -1 + 0.00
-0.16 + 0.14y = -1

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.14y = -1 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.14y = -1 + 0.16
0.14y = -1 + 0.16

Combine like terms: -1 + 0.16 = -0.84
0.14y = -0.84

Divide each side by '0.14'.
y = -6

Simplifying
y = -6

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