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

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Solution for 0.4x+0.2+0.2y=0.1(y-8) equation: 


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

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

Reorder the terms:
0.2 + 0.4x + 0.2y = 0.1(-8 + y)
0.2 + 0.4x + 0.2y = (-8 * 0.1 + y * 0.1)
0.2 + 0.4x + 0.2y = (-0.8 + 0.1y)

Solving
0.2 + 0.4x + 0.2y = -0.8 + 0.1y

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + 0.4x + -0.2 + 0.2y = -0.8 + -0.2 + 0.1y

Reorder the terms:
0.2 + -0.2 + 0.4x + 0.2y = -0.8 + -0.2 + 0.1y

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.4x + 0.2y = -0.8 + -0.2 + 0.1y
0.4x + 0.2y = -0.8 + -0.2 + 0.1y

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

Add '-0.2y' to each side of the equation.
0.4x + 0.2y + -0.2y = -1 + 0.1y + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
0.4x + 0.0 = -1 + 0.1y + -0.2y
0.4x = -1 + 0.1y + -0.2y

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

Divide each side by '0.4'.
x = -2.5 + -0.25y

Simplifying
x = -2.5 + -0.25y

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