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Simplifying 3y + 3 = -2(y + 6) Reorder the terms: 3 + 3y = -2(y + 6) Reorder the terms: 3 + 3y = -2(6 + y) 3 + 3y = (6 * -2 + y * -2) 3 + 3y = (-12 + -2y) Solving 3 + 3y = -12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 3 + 3y + 2y = -12 + -2y + 2y Combine like terms: 3y + 2y = 5y 3 + 5y = -12 + -2y + 2y Combine like terms: -2y + 2y = 0 3 + 5y = -12 + 0 3 + 5y = -12 Add '-3' to each side of the equation. 3 + -3 + 5y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = -12 + -3 5y = -12 + -3 Combine like terms: -12 + -3 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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