0.04(y-3)+0.08y=0.20y-0.4

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Solution for 0.04(y-3)+0.08y=0.20y-0.4 equation: 


Simplifying
0.04(y + -3) + 0.08y = 0.20y + -0.4

Reorder the terms:
0.04(-3 + y) + 0.08y = 0.20y + -0.4
(-3 * 0.04 + y * 0.04) + 0.08y = 0.20y + -0.4
(-0.12 + 0.04y) + 0.08y = 0.20y + -0.4

Combine like terms: 0.04y + 0.08y = 0.12y
-0.12 + 0.12y = 0.20y + -0.4

Reorder the terms:
-0.12 + 0.12y = -0.4 + 0.20y

Solving
-0.12 + 0.12y = -0.4 + 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.
-0.12 + 0.12y + -0.20y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.12y + -0.20y = -0.08y
-0.12 + -0.08y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.12 + -0.08y = -0.4 + 0.00
-0.12 + -0.08y = -0.4

Add '0.12' to each side of the equation.
-0.12 + 0.12 + -0.08y = -0.4 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + -0.08y = -0.4 + 0.12
-0.08y = -0.4 + 0.12

Combine like terms: -0.4 + 0.12 = -0.28
-0.08y = -0.28

Divide each side by '-0.08'.
y = 3.5

Simplifying
y = 3.5

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