y=(x+5)+(3x+1)+y

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Solution for y=(x+5)+(3x+1)+y equation:


Simplifying
y = (x + 5) + (3x + 1) + y

Reorder the terms:
y = (5 + x) + (3x + 1) + y

Remove parenthesis around (5 + x)
y = 5 + x + (3x + 1) + y

Reorder the terms:
y = 5 + x + (1 + 3x) + y

Remove parenthesis around (1 + 3x)
y = 5 + x + 1 + 3x + y

Reorder the terms:
y = 5 + 1 + x + 3x + y

Combine like terms: 5 + 1 = 6
y = 6 + x + 3x + y

Combine like terms: x + 3x = 4x
y = 6 + 4x + y

Add '-1y' to each side of the equation.
y + -1y = 6 + 4x + y + -1y

Combine like terms: y + -1y = 0
0 = 6 + 4x + y + -1y

Combine like terms: y + -1y = 0
0 = 6 + 4x + 0
0 = 6 + 4x

Solving
0 = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
0 + -4x = 6 + 4x + -4x
Remove the zero:
-4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4x = 6 + 0
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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