0.02(y-5)+0.20y=0.10y-0.4

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Solution for 0.02(y-5)+0.20y=0.10y-0.4 equation: 


Simplifying
0.02(y + -5) + 0.20y = 0.10y + -0.4

Reorder the terms:
0.02(-5 + y) + 0.20y = 0.10y + -0.4
(-5 * 0.02 + y * 0.02) + 0.20y = 0.10y + -0.4
(-0.1 + 0.02y) + 0.20y = 0.10y + -0.4

Combine like terms: 0.02y + 0.20y = 0.22y
-0.1 + 0.22y = 0.10y + -0.4

Reorder the terms:
-0.1 + 0.22y = -0.4 + 0.10y

Solving
-0.1 + 0.22y = -0.4 + 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.
-0.1 + 0.22y + -0.10y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.22y + -0.10y = 0.12y
-0.1 + 0.12y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.1 + 0.12y = -0.4 + 0.00
-0.1 + 0.12y = -0.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.12y = -0.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.12y = -0.4 + 0.1
0.12y = -0.4 + 0.1

Combine like terms: -0.4 + 0.1 = -0.3
0.12y = -0.3

Divide each side by '0.12'.
y = -2.5

Simplifying
y = -2.5

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