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Simplifying 0.833(12y + 12) + -4 = 0.667(3y + -9) + 4 Reorder the terms: 0.833(12 + 12y) + -4 = 0.667(3y + -9) + 4 (12 * 0.833 + 12y * 0.833) + -4 = 0.667(3y + -9) + 4 (9.996 + 9.996y) + -4 = 0.667(3y + -9) + 4 Reorder the terms: 9.996 + -4 + 9.996y = 0.667(3y + -9) + 4 Combine like terms: 9.996 + -4 = 5.996 5.996 + 9.996y = 0.667(3y + -9) + 4 Reorder the terms: 5.996 + 9.996y = 0.667(-9 + 3y) + 4 5.996 + 9.996y = (-9 * 0.667 + 3y * 0.667) + 4 5.996 + 9.996y = (-6.003 + 2.001y) + 4 Reorder the terms: 5.996 + 9.996y = -6.003 + 4 + 2.001y Combine like terms: -6.003 + 4 = -2.003 5.996 + 9.996y = -2.003 + 2.001y Solving 5.996 + 9.996y = -2.003 + 2.001y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.001y' to each side of the equation. 5.996 + 9.996y + -2.001y = -2.003 + 2.001y + -2.001y Combine like terms: 9.996y + -2.001y = 7.995y 5.996 + 7.995y = -2.003 + 2.001y + -2.001y Combine like terms: 2.001y + -2.001y = 0.000 5.996 + 7.995y = -2.003 + 0.000 5.996 + 7.995y = -2.003 Add '-5.996' to each side of the equation. 5.996 + -5.996 + 7.995y = -2.003 + -5.996 Combine like terms: 5.996 + -5.996 = 0.000 0.000 + 7.995y = -2.003 + -5.996 7.995y = -2.003 + -5.996 Combine like terms: -2.003 + -5.996 = -7.999 7.995y = -7.999 Divide each side by '7.995'. y = -1.000500313 Simplifying y = -1.000500313
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