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Simplifying 0.375(-6 + -2y) = 0.5(2y + -3) + -1 (-6 * 0.375 + -2y * 0.375) = 0.5(2y + -3) + -1 (-2.25 + -0.75y) = 0.5(2y + -3) + -1 Reorder the terms: -2.25 + -0.75y = 0.5(-3 + 2y) + -1 -2.25 + -0.75y = (-3 * 0.5 + 2y * 0.5) + -1 -2.25 + -0.75y = (-1.5 + 1y) + -1 Reorder the terms: -2.25 + -0.75y = -1.5 + -1 + 1y Combine like terms: -1.5 + -1 = -2.5 -2.25 + -0.75y = -2.5 + 1y Solving -2.25 + -0.75y = -2.5 + 1y 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. -2.25 + -0.75y + -1y = -2.5 + 1y + -1y Combine like terms: -0.75y + -1y = -1.75y -2.25 + -1.75y = -2.5 + 1y + -1y Combine like terms: 1y + -1y = 0 -2.25 + -1.75y = -2.5 + 0 -2.25 + -1.75y = -2.5 Add '2.25' to each side of the equation. -2.25 + 2.25 + -1.75y = -2.5 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -1.75y = -2.5 + 2.25 -1.75y = -2.5 + 2.25 Combine like terms: -2.5 + 2.25 = -0.25 -1.75y = -0.25 Divide each side by '-1.75'. y = 0.1428571429 Simplifying y = 0.1428571429
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