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Simplifying 3y + 12 = 27 + -2y Reorder the terms: 12 + 3y = 27 + -2y Solving 12 + 3y = 27 + -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. 12 + 3y + 2y = 27 + -2y + 2y Combine like terms: 3y + 2y = 5y 12 + 5y = 27 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 5y = 27 + 0 12 + 5y = 27 Add '-12' to each side of the equation. 12 + -12 + 5y = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 27 + -12 5y = 27 + -12 Combine like terms: 27 + -12 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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