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Simplifying 0.5(0.66y + -0.5) = -2 + y Reorder the terms: 0.5(-0.5 + 0.66y) = -2 + y (-0.5 * 0.5 + 0.66y * 0.5) = -2 + y (-0.25 + 0.33y) = -2 + y Solving -0.25 + 0.33y = -2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -0.25 + 0.33y + -1y = -2 + y + -1y Combine like terms: 0.33y + -1y = -0.67y -0.25 + -0.67y = -2 + y + -1y Combine like terms: y + -1y = 0 -0.25 + -0.67y = -2 + 0 -0.25 + -0.67y = -2 Add '0.25' to each side of the equation. -0.25 + 0.25 + -0.67y = -2 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.67y = -2 + 0.25 -0.67y = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 -0.67y = -1.75 Divide each side by '-0.67'. y = 2.611940299 Simplifying y = 2.611940299
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