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Simplifying -4(1 + -2y) = -2x + 4y (1 * -4 + -2y * -4) = -2x + 4y (-4 + 8y) = -2x + 4y Solving -4 + 8y = -2x + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -4 + 8y + -4y = -2x + 4y + -4y Combine like terms: 8y + -4y = 4y -4 + 4y = -2x + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + 4y = -2x + 0 -4 + 4y = -2x Add '4' to each side of the equation. -4 + 4 + 4y = 4 + -2x Combine like terms: -4 + 4 = 0 0 + 4y = 4 + -2x 4y = 4 + -2x Divide each side by '4'. y = 1 + -0.5x Simplifying y = 1 + -0.5x
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