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Simplifying 0.2(5y + -2) = 0.38(2y + -1) + -0.9 Reorder the terms: 0.2(-2 + 5y) = 0.38(2y + -1) + -0.9 (-2 * 0.2 + 5y * 0.2) = 0.38(2y + -1) + -0.9 (-0.4 + 1y) = 0.38(2y + -1) + -0.9 Reorder the terms: -0.4 + 1y = 0.38(-1 + 2y) + -0.9 -0.4 + 1y = (-1 * 0.38 + 2y * 0.38) + -0.9 -0.4 + 1y = (-0.38 + 0.76y) + -0.9 Reorder the terms: -0.4 + 1y = -0.38 + -0.9 + 0.76y Combine like terms: -0.38 + -0.9 = -1.28 -0.4 + 1y = -1.28 + 0.76y Solving -0.4 + 1y = -1.28 + 0.76y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.76y' to each side of the equation. -0.4 + 1y + -0.76y = -1.28 + 0.76y + -0.76y Combine like terms: 1y + -0.76y = 0.24y -0.4 + 0.24y = -1.28 + 0.76y + -0.76y Combine like terms: 0.76y + -0.76y = 0.00 -0.4 + 0.24y = -1.28 + 0.00 -0.4 + 0.24y = -1.28 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.24y = -1.28 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.24y = -1.28 + 0.4 0.24y = -1.28 + 0.4 Combine like terms: -1.28 + 0.4 = -0.88 0.24y = -0.88 Divide each side by '0.24'. y = -3.666666667 Simplifying y = -3.666666667
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