0.10(y-2)+0.02y=0.20y-0.9

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Solution for 0.10(y-2)+0.02y=0.20y-0.9 equation: 


Simplifying
0.10(y + -2) + 0.02y = 0.20y + -0.9

Reorder the terms:
0.10(-2 + y) + 0.02y = 0.20y + -0.9
(-2 * 0.10 + y * 0.10) + 0.02y = 0.20y + -0.9
(-0.2 + 0.10y) + 0.02y = 0.20y + -0.9

Combine like terms: 0.10y + 0.02y = 0.12y
-0.2 + 0.12y = 0.20y + -0.9

Reorder the terms:
-0.2 + 0.12y = -0.9 + 0.20y

Solving
-0.2 + 0.12y = -0.9 + 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 + 0.12y + -0.20y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.12y + -0.20y = -0.08y
-0.2 + -0.08y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.2 + -0.08y = -0.9 + 0.00
-0.2 + -0.08y = -0.9

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.08y = -0.9 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.08y = -0.9 + 0.2
-0.08y = -0.9 + 0.2

Combine like terms: -0.9 + 0.2 = -0.7
-0.08y = -0.7

Divide each side by '-0.08'.
y = 8.75

Simplifying
y = 8.75

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