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Simplifying 3x + -1y = 6y + -4x Reorder the terms: 3x + -1y = -4x + 6y Solving 3x + -1y = -4x + 6y 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. 3x + 4x + -1y = -4x + 4x + 6y Combine like terms: 3x + 4x = 7x 7x + -1y = -4x + 4x + 6y Combine like terms: -4x + 4x = 0 7x + -1y = 0 + 6y 7x + -1y = 6y Add 'y' to each side of the equation. 7x + -1y + y = 6y + y Combine like terms: -1y + y = 0 7x + 0 = 6y + y 7x = 6y + y Combine like terms: 6y + y = 7y 7x = 7y Divide each side by '7'. x = y Simplifying x = y
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