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Simplifying 2x + -6y = 2(y + -1) Reorder the terms: 2x + -6y = 2(-1 + y) 2x + -6y = (-1 * 2 + y * 2) 2x + -6y = (-2 + 2y) Solving 2x + -6y = -2 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 2x + -6y + 6y = -2 + 2y + 6y Combine like terms: -6y + 6y = 0 2x + 0 = -2 + 2y + 6y 2x = -2 + 2y + 6y Combine like terms: 2y + 6y = 8y 2x = -2 + 8y Divide each side by '2'. x = -1 + 4y Simplifying x = -1 + 4y
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