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Simplifying 3y + 7 + 3(y + -1) = 2(2y + 6) Reorder the terms: 3y + 7 + 3(-1 + y) = 2(2y + 6) 3y + 7 + (-1 * 3 + y * 3) = 2(2y + 6) 3y + 7 + (-3 + 3y) = 2(2y + 6) Reorder the terms: 7 + -3 + 3y + 3y = 2(2y + 6) Combine like terms: 7 + -3 = 4 4 + 3y + 3y = 2(2y + 6) Combine like terms: 3y + 3y = 6y 4 + 6y = 2(2y + 6) Reorder the terms: 4 + 6y = 2(6 + 2y) 4 + 6y = (6 * 2 + 2y * 2) 4 + 6y = (12 + 4y) Solving 4 + 6y = 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. 4 + 6y + -4y = 12 + 4y + -4y Combine like terms: 6y + -4y = 2y 4 + 2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + 2y = 12 + 0 4 + 2y = 12 Add '-4' to each side of the equation. 4 + -4 + 2y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = 12 + -4 2y = 12 + -4 Combine like terms: 12 + -4 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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