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

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


Simplifying
0.5y + 0.8 = 0.1 + -0.2y

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

Solving
0.8 + 0.5y = 0.1 + -0.2y

Solving for variable 'y'.

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

Add '0.2y' to each side of the equation.
0.8 + 0.5y + 0.2y = 0.1 + -0.2y + 0.2y

Combine like terms: 0.5y + 0.2y = 0.7y
0.8 + 0.7y = 0.1 + -0.2y + 0.2y

Combine like terms: -0.2y + 0.2y = 0.0
0.8 + 0.7y = 0.1 + 0.0
0.8 + 0.7y = 0.1

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.7y = 0.1 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7y = 0.1 + -0.8
0.7y = 0.1 + -0.8

Combine like terms: 0.1 + -0.8 = -0.7
0.7y = -0.7

Divide each side by '0.7'.
y = -1

Simplifying
y = -1

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