Final answer:
To solve for x in the equation -2x-7y=y-4x, isolate the variable x by combining like terms, subtracting y from both sides, and dividing by -6.
Step-by-step explanation:
To solve for x in the equation -2x-7y=y-4x, you need to isolate the variable x. Start by combining like terms by adding 4x to both sides: -2x-4x-7y=y. Simplify: -6x-7y=y. Next, subtract y from both sides: -6x=y+7y. Combine like terms: -6x=8y. Finally, divide both sides by -6 to solve for x: x = -8y/6.