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Simplifying 9(2 + -1y) + 3(5 + 2y) = 2(7 + -2y) + -4(y + -1) (2 * 9 + -1y * 9) + 3(5 + 2y) = 2(7 + -2y) + -4(y + -1) (18 + -9y) + 3(5 + 2y) = 2(7 + -2y) + -4(y + -1) 18 + -9y + (5 * 3 + 2y * 3) = 2(7 + -2y) + -4(y + -1) 18 + -9y + (15 + 6y) = 2(7 + -2y) + -4(y + -1) Reorder the terms: 18 + 15 + -9y + 6y = 2(7 + -2y) + -4(y + -1) Combine like terms: 18 + 15 = 33 33 + -9y + 6y = 2(7 + -2y) + -4(y + -1) Combine like terms: -9y + 6y = -3y 33 + -3y = 2(7 + -2y) + -4(y + -1) 33 + -3y = (7 * 2 + -2y * 2) + -4(y + -1) 33 + -3y = (14 + -4y) + -4(y + -1) Reorder the terms: 33 + -3y = 14 + -4y + -4(-1 + y) 33 + -3y = 14 + -4y + (-1 * -4 + y * -4) 33 + -3y = 14 + -4y + (4 + -4y) Reorder the terms: 33 + -3y = 14 + 4 + -4y + -4y Combine like terms: 14 + 4 = 18 33 + -3y = 18 + -4y + -4y Combine like terms: -4y + -4y = -8y 33 + -3y = 18 + -8y Solving 33 + -3y = 18 + -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. 33 + -3y + 8y = 18 + -8y + 8y Combine like terms: -3y + 8y = 5y 33 + 5y = 18 + -8y + 8y Combine like terms: -8y + 8y = 0 33 + 5y = 18 + 0 33 + 5y = 18 Add '-33' to each side of the equation. 33 + -33 + 5y = 18 + -33 Combine like terms: 33 + -33 = 0 0 + 5y = 18 + -33 5y = 18 + -33 Combine like terms: 18 + -33 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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