(4x+y)+4x+y+1=0

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Solution for (4x+y)+4x+y+1=0 equation:


Simplifying
(4x + y) + 4x + y + 1 = 0

Remove parenthesis around (4x + y)
4x + y + 4x + y + 1 = 0

Reorder the terms:
1 + 4x + 4x + y + y = 0

Combine like terms: 4x + 4x = 8x
1 + 8x + y + y = 0

Combine like terms: y + y = 2y
1 + 8x + 2y = 0

Solving
1 + 8x + 2y = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 8x + -1 + 2y = 0 + -1

Reorder the terms:
1 + -1 + 8x + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x + 2y = 0 + -1
8x + 2y = 0 + -1

Combine like terms: 0 + -1 = -1
8x + 2y = -1

Add '-2y' to each side of the equation.
8x + 2y + -2y = -1 + -2y

Combine like terms: 2y + -2y = 0
8x + 0 = -1 + -2y
8x = -1 + -2y

Divide each side by '8'.
x = -0.125 + -0.25y

Simplifying
x = -0.125 + -0.25y

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