(2x+y)-(0.5-1.5y)=0

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Solution for (2x+y)-(0.5-1.5y)=0 equation: 


Simplifying
(2x + y) + -1(0.5 + -1.5y) = 0

Remove parenthesis around (2x + y)
2x + y + -1(0.5 + -1.5y) = 0
2x + y + (0.5 * -1 + -1.5y * -1) = 0
2x + y + (-0.5 + 1.5y) = 0

Reorder the terms:
-0.5 + 2x + y + 1.5y = 0

Combine like terms: y + 1.5y = 2.5y
-0.5 + 2x + 2.5y = 0

Solving
-0.5 + 2x + 2.5y = 0

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 2x + 0.5 + 2.5y = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 2x + 2.5y = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 2x + 2.5y = 0 + 0.5
2x + 2.5y = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
2x + 2.5y = 0.5

Add '-2.5y' to each side of the equation.
2x + 2.5y + -2.5y = 0.5 + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0
2x + 0.0 = 0.5 + -2.5y
2x = 0.5 + -2.5y

Divide each side by '2'.
x = 0.25 + -1.25y

Simplifying
x = 0.25 + -1.25y

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