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Simplifying 9(y + 2) = 6(y + -3) + 3 Reorder the terms: 9(2 + y) = 6(y + -3) + 3 (2 * 9 + y * 9) = 6(y + -3) + 3 (18 + 9y) = 6(y + -3) + 3 Reorder the terms: 18 + 9y = 6(-3 + y) + 3 18 + 9y = (-3 * 6 + y * 6) + 3 18 + 9y = (-18 + 6y) + 3 Reorder the terms: 18 + 9y = -18 + 3 + 6y Combine like terms: -18 + 3 = -15 18 + 9y = -15 + 6y Solving 18 + 9y = -15 + 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. 18 + 9y + -6y = -15 + 6y + -6y Combine like terms: 9y + -6y = 3y 18 + 3y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + 3y = -15 + 0 18 + 3y = -15 Add '-18' to each side of the equation. 18 + -18 + 3y = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = -15 + -18 3y = -15 + -18 Combine like terms: -15 + -18 = -33 3y = -33 Divide each side by '3'. y = -11 Simplifying y = -11
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