0.05(y-5)+0.10y=0.05y-0.20

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Solution for 0.05(y-5)+0.10y=0.05y-0.20 equation: 


Simplifying
0.05(y + -5) + 0.10y = 0.05y + -0.20

Reorder the terms:
0.05(-5 + y) + 0.10y = 0.05y + -0.20
(-5 * 0.05 + y * 0.05) + 0.10y = 0.05y + -0.20
(-0.25 + 0.05y) + 0.10y = 0.05y + -0.20

Combine like terms: 0.05y + 0.10y = 0.15y
-0.25 + 0.15y = 0.05y + -0.20

Reorder the terms:
-0.25 + 0.15y = -0.20 + 0.05y

Solving
-0.25 + 0.15y = -0.20 + 0.05y

Solving for variable 'y'.

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

Add '-0.05y' to each side of the equation.
-0.25 + 0.15y + -0.05y = -0.20 + 0.05y + -0.05y

Combine like terms: 0.15y + -0.05y = 0.1y
-0.25 + 0.1y = -0.20 + 0.05y + -0.05y

Combine like terms: 0.05y + -0.05y = 0.00
-0.25 + 0.1y = -0.20 + 0.00
-0.25 + 0.1y = -0.20

Add '0.25' to each side of the equation.
-0.25 + 0.25 + 0.1y = -0.20 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.1y = -0.20 + 0.25
0.1y = -0.20 + 0.25

Combine like terms: -0.20 + 0.25 = 0.05
0.1y = 0.05

Divide each side by '0.1'.
y = 0.5

Simplifying
y = 0.5

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