4x+y+1=-y-2x+3

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Solution for 4x+y+1=-y-2x+3 equation:


Simplifying
4x + y + 1 = -1y + -2x + 3

Reorder the terms:
1 + 4x + y = -1y + -2x + 3

Reorder the terms:
1 + 4x + y = 3 + -2x + -1y

Solving
1 + 4x + y = 3 + -2x + -1y

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + 4x + 2x + y = 3 + -2x + 2x + -1y

Combine like terms: 4x + 2x = 6x
1 + 6x + y = 3 + -2x + 2x + -1y

Combine like terms: -2x + 2x = 0
1 + 6x + y = 3 + 0 + -1y
1 + 6x + y = 3 + -1y

Add '-1' to each side of the equation.
1 + 6x + -1 + y = 3 + -1 + -1y

Reorder the terms:
1 + -1 + 6x + y = 3 + -1 + -1y

Combine like terms: 1 + -1 = 0
0 + 6x + y = 3 + -1 + -1y
6x + y = 3 + -1 + -1y

Combine like terms: 3 + -1 = 2
6x + y = 2 + -1y

Add '-1y' to each side of the equation.
6x + y + -1y = 2 + -1y + -1y

Combine like terms: y + -1y = 0
6x + 0 = 2 + -1y + -1y
6x = 2 + -1y + -1y

Combine like terms: -1y + -1y = -2y
6x = 2 + -2y

Divide each side by '6'.
x = 0.3333333333 + -0.3333333333y

Simplifying
x = 0.3333333333 + -0.3333333333y

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