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Simplifying 18 + -1(-1y + -6) = 3(y + 4) + -9(y + 4) Reorder the terms: 18 + -1(-6 + -1y) = 3(y + 4) + -9(y + 4) 18 + (-6 * -1 + -1y * -1) = 3(y + 4) + -9(y + 4) 18 + (6 + 1y) = 3(y + 4) + -9(y + 4) Combine like terms: 18 + 6 = 24 24 + 1y = 3(y + 4) + -9(y + 4) Reorder the terms: 24 + 1y = 3(4 + y) + -9(y + 4) 24 + 1y = (4 * 3 + y * 3) + -9(y + 4) 24 + 1y = (12 + 3y) + -9(y + 4) Reorder the terms: 24 + 1y = 12 + 3y + -9(4 + y) 24 + 1y = 12 + 3y + (4 * -9 + y * -9) 24 + 1y = 12 + 3y + (-36 + -9y) Reorder the terms: 24 + 1y = 12 + -36 + 3y + -9y Combine like terms: 12 + -36 = -24 24 + 1y = -24 + 3y + -9y Combine like terms: 3y + -9y = -6y 24 + 1y = -24 + -6y Solving 24 + 1y = -24 + -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. 24 + 1y + 6y = -24 + -6y + 6y Combine like terms: 1y + 6y = 7y 24 + 7y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 24 + 7y = -24 + 0 24 + 7y = -24 Add '-24' to each side of the equation. 24 + -24 + 7y = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 7y = -24 + -24 7y = -24 + -24 Combine like terms: -24 + -24 = -48 7y = -48 Divide each side by '7'. y = -6.857142857 Simplifying y = -6.857142857
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