(3*x)+(0.4*y)=2.0*(x+y)

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Solution for (3*x)+(0.4*y)=2.0*(x+y) equation: 


Simplifying
(3x) + (0.4y) = 2.0(x + y)
(3x) + (0.4y) = (x * 2.0 + y * 2.0)
(3x) + (0.4y) = (2.0x + 2.0y)

Solving
(3x) + (0.4y) = 2.0x + 2.0y

Solving for variable 'x'.

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

Add '-2.0x' to each side of the equation.
(3x) + -2.0x + (0.4y) = 2.0x + -2.0x + 2.0y

Combine like terms: (3x) + -2.0x = 1x
1x + (0.4y) = 2.0x + -2.0x + 2.0y

Combine like terms: 2.0x + -2.0x = 0.0
1x + (0.4y) = 0.0 + 2.0y
1x + (0.4y) = 2.0y

Add '(-0.4y)' to each side of the equation.
1x + (0.4y) + (-0.4y) = 2.0y + (-0.4y)

Combine like terms: (0.4y) + (-0.4y) = 0.0
1x + 0.0 = 2.0y + (-0.4y)
1x = 2.0y + (-0.4y)

Combine like terms: 2.0y + (-0.4y) = 1.6y
1x = 1.6y

Divide each side by '1'.
x = 1.6y

Simplifying
x = 1.6y

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