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Simplifying 5y + 3(y + -9) = 6(y + 1) + -4 Reorder the terms: 5y + 3(-9 + y) = 6(y + 1) + -4 5y + (-9 * 3 + y * 3) = 6(y + 1) + -4 5y + (-27 + 3y) = 6(y + 1) + -4 Reorder the terms: -27 + 5y + 3y = 6(y + 1) + -4 Combine like terms: 5y + 3y = 8y -27 + 8y = 6(y + 1) + -4 Reorder the terms: -27 + 8y = 6(1 + y) + -4 -27 + 8y = (1 * 6 + y * 6) + -4 -27 + 8y = (6 + 6y) + -4 Reorder the terms: -27 + 8y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 -27 + 8y = 2 + 6y Solving -27 + 8y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -27 + 8y + -6y = 2 + 6y + -6y Combine like terms: 8y + -6y = 2y -27 + 2y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + 2y = 2 + 0 -27 + 2y = 2 Add '27' to each side of the equation. -27 + 27 + 2y = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 2y = 2 + 27 2y = 2 + 27 Combine like terms: 2 + 27 = 29 2y = 29 Divide each side by '2'. y = 14.5 Simplifying y = 14.5
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