-4x=rx+6+y

Solution for -4x=rx+6+y equation:

Simplifying
-4x = rx + 6 + y

Reorder the terms:
-4x = 6 + rx + y

Solving
-4x = 6 + rx + y

Solving for variable 'x'.

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

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

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

Reorder the terms:
-6 + -1rx + -4x + -1y = 6 + y + -6 + -1y

Reorder the terms:
-6 + -1rx + -4x + -1y = 6 + -6 + y + -1y

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + rx + 4x + y) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + rx + 4x + y)' equal to zero and attempt to solve:

Simplifying
6 + rx + 4x + y = 0

Solving
6 + rx + 4x + y = 0

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

Add '-6' to each side of the equation.
6 + rx + 4x + -6 + y = 0 + -6

Reorder the terms:
6 + -6 + rx + 4x + y = 0 + -6

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.