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Simplifying 3(6 + -11y) = (2y + 4) * 2 (6 * 3 + -11y * 3) = (2y + 4) * 2 (18 + -33y) = (2y + 4) * 2 Reorder the terms: 18 + -33y = (4 + 2y) * 2 Reorder the terms for easier multiplication: 18 + -33y = 2(4 + 2y) 18 + -33y = (4 * 2 + 2y * 2) 18 + -33y = (8 + 4y) Solving 18 + -33y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 18 + -33y + -4y = 8 + 4y + -4y Combine like terms: -33y + -4y = -37y 18 + -37y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + -37y = 8 + 0 18 + -37y = 8 Add '-18' to each side of the equation. 18 + -18 + -37y = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -37y = 8 + -18 -37y = 8 + -18 Combine like terms: 8 + -18 = -10 -37y = -10 Divide each side by '-37'. y = 0.2702702703 Simplifying y = 0.2702702703
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