.4y+0.2+0.2y=.1(y-8)

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Solution for .4y+0.2+0.2y=.1(y-8) equation: 


Simplifying
0.4y + 0.2 + 0.2y = 0.1(y + -8)

Reorder the terms:
0.2 + 0.4y + 0.2y = 0.1(y + -8)

Combine like terms: 0.4y + 0.2y = 0.6y
0.2 + 0.6y = 0.1(y + -8)

Reorder the terms:
0.2 + 0.6y = 0.1(-8 + y)
0.2 + 0.6y = (-8 * 0.1 + y * 0.1)
0.2 + 0.6y = (-0.8 + 0.1y)

Solving
0.2 + 0.6y = -0.8 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
0.2 + 0.6y + -0.1y = -0.8 + 0.1y + -0.1y

Combine like terms: 0.6y + -0.1y = 0.5y
0.2 + 0.5y = -0.8 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
0.2 + 0.5y = -0.8 + 0.0
0.2 + 0.5y = -0.8

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

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.5y = -0.8 + -0.2
0.5y = -0.8 + -0.2

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

Divide each side by '0.5'.
y = -2

Simplifying
y = -2

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