0.10(y-2)+0.18y=0.20y-0.4

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Solution for 0.10(y-2)+0.18y=0.20y-0.4 equation: 


Simplifying
0.10(y + -2) + 0.18y = 0.20y + -0.4

Reorder the terms:
0.10(-2 + y) + 0.18y = 0.20y + -0.4
(-2 * 0.10 + y * 0.10) + 0.18y = 0.20y + -0.4
(-0.2 + 0.10y) + 0.18y = 0.20y + -0.4

Combine like terms: 0.10y + 0.18y = 0.28y
-0.2 + 0.28y = 0.20y + -0.4

Reorder the terms:
-0.2 + 0.28y = -0.4 + 0.20y

Solving
-0.2 + 0.28y = -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.
-0.2 + 0.28y + -0.20y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.28y + -0.20y = 0.08y
-0.2 + 0.08y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.2 + 0.08y = -0.4 + 0.00
-0.2 + 0.08y = -0.4

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.08y = -0.4 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.08y = -0.4 + 0.2
0.08y = -0.4 + 0.2

Combine like terms: -0.4 + 0.2 = -0.2
0.08y = -0.2

Divide each side by '0.08'.
y = -2.5

Simplifying
y = -2.5

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