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Simplifying 3(9 + y) = 4(2 + -1y) (9 * 3 + y * 3) = 4(2 + -1y) (27 + 3y) = 4(2 + -1y) 27 + 3y = (2 * 4 + -1y * 4) 27 + 3y = (8 + -4y) Solving 27 + 3y = 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. 27 + 3y + 4y = 8 + -4y + 4y Combine like terms: 3y + 4y = 7y 27 + 7y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 27 + 7y = 8 + 0 27 + 7y = 8 Add '-27' to each side of the equation. 27 + -27 + 7y = 8 + -27 Combine like terms: 27 + -27 = 0 0 + 7y = 8 + -27 7y = 8 + -27 Combine like terms: 8 + -27 = -19 7y = -19 Divide each side by '7'. y = -2.714285714 Simplifying y = -2.714285714
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