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Simplifying 9(y + 1) + 3 = 6y + 6 Reorder the terms: 9(1 + y) + 3 = 6y + 6 (1 * 9 + y * 9) + 3 = 6y + 6 (9 + 9y) + 3 = 6y + 6 Reorder the terms: 9 + 3 + 9y = 6y + 6 Combine like terms: 9 + 3 = 12 12 + 9y = 6y + 6 Reorder the terms: 12 + 9y = 6 + 6y Solving 12 + 9y = 6 + 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. 12 + 9y + -6y = 6 + 6y + -6y Combine like terms: 9y + -6y = 3y 12 + 3y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 3y = 6 + 0 12 + 3y = 6 Add '-12' to each side of the equation. 12 + -12 + 3y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 6 + -12 3y = 6 + -12 Combine like terms: 6 + -12 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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