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

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


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

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

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

Reorder the terms:
0.4 + 0.4y = 0.1(-8 + y)
0.4 + 0.4y = (-8 * 0.1 + y * 0.1)
0.4 + 0.4y = (-0.8 + 0.1y)

Solving
0.4 + 0.4y = -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.
0.4 + 0.4y + -0.1y = -0.8 + 0.1y + -0.1y

Combine like terms: 0.4y + -0.1y = 0.3y
0.4 + 0.3y = -0.8 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
0.4 + 0.3y = -0.8 + 0.0
0.4 + 0.3y = -0.8

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.3y = -0.8 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.3y = -0.8 + -0.4
0.3y = -0.8 + -0.4

Combine like terms: -0.8 + -0.4 = -1.2
0.3y = -1.2

Divide each side by '0.3'.
y = -4

Simplifying
y = -4

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