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Simplifying 6(y + 2) = 3 + 5y Reorder the terms: 6(2 + y) = 3 + 5y (2 * 6 + y * 6) = 3 + 5y (12 + 6y) = 3 + 5y Solving 12 + 6y = 3 + 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. 12 + 6y + -5y = 3 + 5y + -5y Combine like terms: 6y + -5y = 1y 12 + 1y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + 1y = 3 + 0 12 + 1y = 3 Add '-12' to each side of the equation. 12 + -12 + 1y = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 3 + -12 1y = 3 + -12 Combine like terms: 3 + -12 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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