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Simplifying -2y + -4(-0.25 + -0.5x) = 1 -2y + (-0.25 * -4 + -0.5x * -4) = 1 -2y + (1 + 2x) = 1 Reorder the terms: 1 + 2x + -2y = 1 Add '-1' to each side of the equation. 1 + 2x + -1 + -2y = 1 + -1 Reorder the terms: 1 + -1 + 2x + -2y = 1 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + -2y = 1 + -1 2x + -2y = 1 + -1 Combine like terms: 1 + -1 = 0 2x + -2y = 0 Solving 2x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 0 + 2y 2x = 0 + 2y Remove the zero: 2x = 2y Divide each side by '2'. x = y Simplifying x = y
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