0.02(y-5)+0.10y=0.20y-0.5

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Solution for 0.02(y-5)+0.10y=0.20y-0.5 equation: 


Simplifying
0.02(y + -5) + 0.10y = 0.20y + -0.5

Reorder the terms:
0.02(-5 + y) + 0.10y = 0.20y + -0.5
(-5 * 0.02 + y * 0.02) + 0.10y = 0.20y + -0.5
(-0.1 + 0.02y) + 0.10y = 0.20y + -0.5

Combine like terms: 0.02y + 0.10y = 0.12y
-0.1 + 0.12y = 0.20y + -0.5

Reorder the terms:
-0.1 + 0.12y = -0.5 + 0.20y

Solving
-0.1 + 0.12y = -0.5 + 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.
-0.1 + 0.12y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.12y + -0.20y = -0.08y
-0.1 + -0.08y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.1 + -0.08y = -0.5 + 0.00
-0.1 + -0.08y = -0.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.08y = -0.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.08y = -0.5 + 0.1
-0.08y = -0.5 + 0.1

Combine like terms: -0.5 + 0.1 = -0.4
-0.08y = -0.4

Divide each side by '-0.08'.
y = 5

Simplifying
y = 5

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