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Simplifying 2y + 6 + 4y + -3 = 5y + 12 Reorder the terms: 6 + -3 + 2y + 4y = 5y + 12 Combine like terms: 6 + -3 = 3 3 + 2y + 4y = 5y + 12 Combine like terms: 2y + 4y = 6y 3 + 6y = 5y + 12 Reorder the terms: 3 + 6y = 12 + 5y Solving 3 + 6y = 12 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 3 + 6y + -5y = 12 + 5y + -5y Combine like terms: 6y + -5y = 1y 3 + 1y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 3 + 1y = 12 + 0 3 + 1y = 12 Add '-3' to each side of the equation. 3 + -3 + 1y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 12 + -3 1y = 12 + -3 Combine like terms: 12 + -3 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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