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Simplifying 3y + 12 = -3(y + 6) Reorder the terms: 12 + 3y = -3(y + 6) Reorder the terms: 12 + 3y = -3(6 + y) 12 + 3y = (6 * -3 + y * -3) 12 + 3y = (-18 + -3y) Solving 12 + 3y = -18 + -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. 12 + 3y + 3y = -18 + -3y + 3y Combine like terms: 3y + 3y = 6y 12 + 6y = -18 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 6y = -18 + 0 12 + 6y = -18 Add '-12' to each side of the equation. 12 + -12 + 6y = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = -18 + -12 6y = -18 + -12 Combine like terms: -18 + -12 = -30 6y = -30 Divide each side by '6'. y = -5 Simplifying y = -5
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