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Simplifying 120 + -2(80 + -1y) = (120 + -2y) * 0.91 120 + (80 * -2 + -1y * -2) = (120 + -2y) * 0.91 120 + (-160 + 2y) = (120 + -2y) * 0.91 Combine like terms: 120 + -160 = -40 -40 + 2y = (120 + -2y) * 0.91 Reorder the terms for easier multiplication: -40 + 2y = 0.91(120 + -2y) -40 + 2y = (120 * 0.91 + -2y * 0.91) -40 + 2y = (109.2 + -1.82y) Solving -40 + 2y = 109.2 + -1.82y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.82y' to each side of the equation. -40 + 2y + 1.82y = 109.2 + -1.82y + 1.82y Combine like terms: 2y + 1.82y = 3.82y -40 + 3.82y = 109.2 + -1.82y + 1.82y Combine like terms: -1.82y + 1.82y = 0.00 -40 + 3.82y = 109.2 + 0.00 -40 + 3.82y = 109.2 Add '40' to each side of the equation. -40 + 40 + 3.82y = 109.2 + 40 Combine like terms: -40 + 40 = 0 0 + 3.82y = 109.2 + 40 3.82y = 109.2 + 40 Combine like terms: 109.2 + 40 = 149.2 3.82y = 149.2 Divide each side by '3.82'. y = 39.05759162 Simplifying y = 39.05759162
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