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Simplifying 3(y + 9) = -2(4y + 1) Reorder the terms: 3(9 + y) = -2(4y + 1) (9 * 3 + y * 3) = -2(4y + 1) (27 + 3y) = -2(4y + 1) Reorder the terms: 27 + 3y = -2(1 + 4y) 27 + 3y = (1 * -2 + 4y * -2) 27 + 3y = (-2 + -8y) Solving 27 + 3y = -2 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 27 + 3y + 8y = -2 + -8y + 8y Combine like terms: 3y + 8y = 11y 27 + 11y = -2 + -8y + 8y Combine like terms: -8y + 8y = 0 27 + 11y = -2 + 0 27 + 11y = -2 Add '-27' to each side of the equation. 27 + -27 + 11y = -2 + -27 Combine like terms: 27 + -27 = 0 0 + 11y = -2 + -27 11y = -2 + -27 Combine like terms: -2 + -27 = -29 11y = -29 Divide each side by '11'. y = -2.636363636 Simplifying y = -2.636363636
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