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Simplifying 3[y + -8] + -1 = 9[y + 2] + 5 Reorder the terms: 3[-8 + y] + -1 = 9[y + 2] + 5 [-8 * 3 + y * 3] + -1 = 9[y + 2] + 5 [-24 + 3y] + -1 = 9[y + 2] + 5 Reorder the terms: -24 + -1 + 3y = 9[y + 2] + 5 Combine like terms: -24 + -1 = -25 -25 + 3y = 9[y + 2] + 5 Reorder the terms: -25 + 3y = 9[2 + y] + 5 -25 + 3y = [2 * 9 + y * 9] + 5 -25 + 3y = [18 + 9y] + 5 Reorder the terms: -25 + 3y = 18 + 5 + 9y Combine like terms: 18 + 5 = 23 -25 + 3y = 23 + 9y Solving -25 + 3y = 23 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -25 + 3y + -9y = 23 + 9y + -9y Combine like terms: 3y + -9y = -6y -25 + -6y = 23 + 9y + -9y Combine like terms: 9y + -9y = 0 -25 + -6y = 23 + 0 -25 + -6y = 23 Add '25' to each side of the equation. -25 + 25 + -6y = 23 + 25 Combine like terms: -25 + 25 = 0 0 + -6y = 23 + 25 -6y = 23 + 25 Combine like terms: 23 + 25 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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