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Simplifying 3y + 1 = 2(2y + 6) Reorder the terms: 1 + 3y = 2(2y + 6) Reorder the terms: 1 + 3y = 2(6 + 2y) 1 + 3y = (6 * 2 + 2y * 2) 1 + 3y = (12 + 4y) Solving 1 + 3y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 1 + 3y + -4y = 12 + 4y + -4y Combine like terms: 3y + -4y = -1y 1 + -1y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -1y = 12 + 0 1 + -1y = 12 Add '-1' to each side of the equation. 1 + -1 + -1y = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 12 + -1 -1y = 12 + -1 Combine like terms: 12 + -1 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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