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Simplifying 0.5(2y + -1) + -1(0.5 + -0.2y) + 1 = 0 Reorder the terms: 0.5(-1 + 2y) + -1(0.5 + -0.2y) + 1 = 0 (-1 * 0.5 + 2y * 0.5) + -1(0.5 + -0.2y) + 1 = 0 (-0.5 + 1y) + -1(0.5 + -0.2y) + 1 = 0 -0.5 + 1y + (0.5 * -1 + -0.2y * -1) + 1 = 0 -0.5 + 1y + (-0.5 + 0.2y) + 1 = 0 Reorder the terms: -0.5 + -0.5 + 1 + 1y + 0.2y = 0 Combine like terms: -0.5 + -0.5 = -1 -1 + 1 + 1y + 0.2y = 0 Combine like terms: -1 + 1 = 0 0 + 1y + 0.2y = 0 1y + 0.2y = 0 Combine like terms: 1y + 0.2y = 1.2y 1.2y = 0 Solving 1.2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '1.2'. y = 0 Simplifying y = 0
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