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Simplifying 3(2y + 3) = 4y + 7 Reorder the terms: 3(3 + 2y) = 4y + 7 (3 * 3 + 2y * 3) = 4y + 7 (9 + 6y) = 4y + 7 Reorder the terms: 9 + 6y = 7 + 4y Solving 9 + 6y = 7 + 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. 9 + 6y + -4y = 7 + 4y + -4y Combine like terms: 6y + -4y = 2y 9 + 2y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 9 + 2y = 7 + 0 9 + 2y = 7 Add '-9' to each side of the equation. 9 + -9 + 2y = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 7 + -9 2y = 7 + -9 Combine like terms: 7 + -9 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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