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