.2y-.8=.1y+1-.5y

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Solution for .2y-.8=.1y+1-.5y equation: 


Simplifying
0.2y + -0.8 = 0.1y + 1 + -0.5y

Reorder the terms:
-0.8 + 0.2y = 0.1y + 1 + -0.5y

Reorder the terms:
-0.8 + 0.2y = 1 + 0.1y + -0.5y

Combine like terms: 0.1y + -0.5y = -0.4y
-0.8 + 0.2y = 1 + -0.4y

Solving
-0.8 + 0.2y = 1 + -0.4y

Solving for variable 'y'.

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

Add '0.4y' to each side of the equation.
-0.8 + 0.2y + 0.4y = 1 + -0.4y + 0.4y

Combine like terms: 0.2y + 0.4y = 0.6y
-0.8 + 0.6y = 1 + -0.4y + 0.4y

Combine like terms: -0.4y + 0.4y = 0.0
-0.8 + 0.6y = 1 + 0.0
-0.8 + 0.6y = 1

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.6y = 1 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.6y = 1 + 0.8
0.6y = 1 + 0.8

Combine like terms: 1 + 0.8 = 1.8
0.6y = 1.8

Divide each side by '0.6'.
y = 3

Simplifying
y = 3

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