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Simplifying -3y + 9 = -3(2y + 6) Reorder the terms: 9 + -3y = -3(2y + 6) Reorder the terms: 9 + -3y = -3(6 + 2y) 9 + -3y = (6 * -3 + 2y * -3) 9 + -3y = (-18 + -6y) Solving 9 + -3y = -18 + -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. 9 + -3y + 6y = -18 + -6y + 6y Combine like terms: -3y + 6y = 3y 9 + 3y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + 3y = -18 + 0 9 + 3y = -18 Add '-9' to each side of the equation. 9 + -9 + 3y = -18 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = -18 + -9 3y = -18 + -9 Combine like terms: -18 + -9 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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