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Simplifying -2.06 + -2(-15.7y + 19.51) = 7(8.6y + 16.76) Reorder the terms: -2.06 + -2(19.51 + -15.7y) = 7(8.6y + 16.76) -2.06 + (19.51 * -2 + -15.7y * -2) = 7(8.6y + 16.76) -2.06 + (-39.02 + 31.4y) = 7(8.6y + 16.76) Combine like terms: -2.06 + -39.02 = -41.08 -41.08 + 31.4y = 7(8.6y + 16.76) Reorder the terms: -41.08 + 31.4y = 7(16.76 + 8.6y) -41.08 + 31.4y = (16.76 * 7 + 8.6y * 7) -41.08 + 31.4y = (117.32 + 60.2y) Solving -41.08 + 31.4y = 117.32 + 60.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60.2y' to each side of the equation. -41.08 + 31.4y + -60.2y = 117.32 + 60.2y + -60.2y Combine like terms: 31.4y + -60.2y = -28.8y -41.08 + -28.8y = 117.32 + 60.2y + -60.2y Combine like terms: 60.2y + -60.2y = 0.0 -41.08 + -28.8y = 117.32 + 0.0 -41.08 + -28.8y = 117.32 Add '41.08' to each side of the equation. -41.08 + 41.08 + -28.8y = 117.32 + 41.08 Combine like terms: -41.08 + 41.08 = 0.00 0.00 + -28.8y = 117.32 + 41.08 -28.8y = 117.32 + 41.08 Combine like terms: 117.32 + 41.08 = 158.4 -28.8y = 158.4 Divide each side by '-28.8'. y = -5.5 Simplifying y = -5.5
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