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Simplifying 3y + 12 = -3(2y + 1) Reorder the terms: 12 + 3y = -3(2y + 1) Reorder the terms: 12 + 3y = -3(1 + 2y) 12 + 3y = (1 * -3 + 2y * -3) 12 + 3y = (-3 + -6y) Solving 12 + 3y = -3 + -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 + 3y + 6y = -3 + -6y + 6y Combine like terms: 3y + 6y = 9y 12 + 9y = -3 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 9y = -3 + 0 12 + 9y = -3 Add '-12' to each side of the equation. 12 + -12 + 9y = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 9y = -3 + -12 9y = -3 + -12 Combine like terms: -3 + -12 = -15 9y = -15 Divide each side by '9'. y = -1.666666667 Simplifying y = -1.666666667
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