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Simplifying 3y + 27 = -3(y + -3) Reorder the terms: 27 + 3y = -3(y + -3) Reorder the terms: 27 + 3y = -3(-3 + y) 27 + 3y = (-3 * -3 + y * -3) 27 + 3y = (9 + -3y) Solving 27 + 3y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 27 + 3y + 3y = 9 + -3y + 3y Combine like terms: 3y + 3y = 6y 27 + 6y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + 6y = 9 + 0 27 + 6y = 9 Add '-27' to each side of the equation. 27 + -27 + 6y = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 6y = 9 + -27 6y = 9 + -27 Combine like terms: 9 + -27 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
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