x+y=0.5(x+y-0.2)

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Solution for x+y=0.5(x+y-0.2) equation:


Simplifying
x + y = 0.5(x + y + -0.2)

Reorder the terms:
x + y = 0.5(-0.2 + x + y)
x + y = (-0.2 * 0.5 + x * 0.5 + y * 0.5)
x + y = (-0.1 + 0.5x + 0.5y)

Solving
x + y = -0.1 + 0.5x + 0.5y

Solving for variable 'x'.

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

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

Combine like terms: x + -0.5x = 0.5x
0.5x + y = -0.1 + 0.5x + -0.5x + 0.5y

Combine like terms: 0.5x + -0.5x = 0.0
0.5x + y = -0.1 + 0.0 + 0.5y
0.5x + y = -0.1 + 0.5y

Add '-1y' to each side of the equation.
0.5x + y + -1y = -0.1 + 0.5y + -1y

Combine like terms: y + -1y = 0
0.5x + 0 = -0.1 + 0.5y + -1y
0.5x = -0.1 + 0.5y + -1y

Combine like terms: 0.5y + -1y = -0.5y
0.5x = -0.1 + -0.5y

Divide each side by '0.5'.
x = -0.2 + -1y

Simplifying
x = -0.2 + -1y

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