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Simplifying 9y + -1(6 + -5y) * 3 = y + -2(3y + 9) Reorder the terms for easier multiplication: 9y + -1 * 3(6 + -5y) = y + -2(3y + 9) Multiply -1 * 3 9y + -3(6 + -5y) = y + -2(3y + 9) 9y + (6 * -3 + -5y * -3) = y + -2(3y + 9) 9y + (-18 + 15y) = y + -2(3y + 9) Reorder the terms: -18 + 9y + 15y = y + -2(3y + 9) Combine like terms: 9y + 15y = 24y -18 + 24y = y + -2(3y + 9) Reorder the terms: -18 + 24y = y + -2(9 + 3y) -18 + 24y = y + (9 * -2 + 3y * -2) -18 + 24y = y + (-18 + -6y) Reorder the terms: -18 + 24y = -18 + y + -6y Combine like terms: y + -6y = -5y -18 + 24y = -18 + -5y Add '18' to each side of the equation. -18 + 18 + 24y = -18 + 18 + -5y Combine like terms: -18 + 18 = 0 0 + 24y = -18 + 18 + -5y 24y = -18 + 18 + -5y Combine like terms: -18 + 18 = 0 24y = 0 + -5y 24y = -5y Solving 24y = -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 24y + 5y = -5y + 5y Combine like terms: 24y + 5y = 29y 29y = -5y + 5y Combine like terms: -5y + 5y = 0 29y = 0 Divide each side by '29'. y = 0 Simplifying y = 0
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