0.04(y-1)+0.20y=0.06y-0.4

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Solution for 0.04(y-1)+0.20y=0.06y-0.4 equation: 


Simplifying
0.04(y + -1) + 0.20y = 0.06y + -0.4

Reorder the terms:
0.04(-1 + y) + 0.20y = 0.06y + -0.4
(-1 * 0.04 + y * 0.04) + 0.20y = 0.06y + -0.4
(-0.04 + 0.04y) + 0.20y = 0.06y + -0.4

Combine like terms: 0.04y + 0.20y = 0.24y
-0.04 + 0.24y = 0.06y + -0.4

Reorder the terms:
-0.04 + 0.24y = -0.4 + 0.06y

Solving
-0.04 + 0.24y = -0.4 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.04 + 0.24y + -0.06y = -0.4 + 0.06y + -0.06y

Combine like terms: 0.24y + -0.06y = 0.18y
-0.04 + 0.18y = -0.4 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.04 + 0.18y = -0.4 + 0.00
-0.04 + 0.18y = -0.4

Add '0.04' to each side of the equation.
-0.04 + 0.04 + 0.18y = -0.4 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.18y = -0.4 + 0.04
0.18y = -0.4 + 0.04

Combine like terms: -0.4 + 0.04 = -0.36
0.18y = -0.36

Divide each side by '0.18'.
y = -2

Simplifying
y = -2

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