0.04(y-8)+0.20y=0.08y-0.4

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Solution for 0.04(y-8)+0.20y=0.08y-0.4 equation: 


Simplifying
0.04(y + -8) + 0.20y = 0.08y + -0.4

Reorder the terms:
0.04(-8 + y) + 0.20y = 0.08y + -0.4
(-8 * 0.04 + y * 0.04) + 0.20y = 0.08y + -0.4
(-0.32 + 0.04y) + 0.20y = 0.08y + -0.4

Combine like terms: 0.04y + 0.20y = 0.24y
-0.32 + 0.24y = 0.08y + -0.4

Reorder the terms:
-0.32 + 0.24y = -0.4 + 0.08y

Solving
-0.32 + 0.24y = -0.4 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.32 + 0.24y + -0.08y = -0.4 + 0.08y + -0.08y

Combine like terms: 0.24y + -0.08y = 0.16y
-0.32 + 0.16y = -0.4 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.32 + 0.16y = -0.4 + 0.00
-0.32 + 0.16y = -0.4

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.16y = -0.4 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.16y = -0.4 + 0.32
0.16y = -0.4 + 0.32

Combine like terms: -0.4 + 0.32 = -0.08
0.16y = -0.08

Divide each side by '0.16'.
y = -0.5

Simplifying
y = -0.5

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