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Simplifying 3(2y + 3) + 7 = 4y + 6 Reorder the terms: 3(3 + 2y) + 7 = 4y + 6 (3 * 3 + 2y * 3) + 7 = 4y + 6 (9 + 6y) + 7 = 4y + 6 Reorder the terms: 9 + 7 + 6y = 4y + 6 Combine like terms: 9 + 7 = 16 16 + 6y = 4y + 6 Reorder the terms: 16 + 6y = 6 + 4y Solving 16 + 6y = 6 + 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. 16 + 6y + -4y = 6 + 4y + -4y Combine like terms: 6y + -4y = 2y 16 + 2y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 16 + 2y = 6 + 0 16 + 2y = 6 Add '-16' to each side of the equation. 16 + -16 + 2y = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = 6 + -16 2y = 6 + -16 Combine like terms: 6 + -16 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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