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Simplifying 6(y2 + 5) + -3(2y2 + 1) + y = 28 Reorder the terms: 6(5 + y2) + -3(2y2 + 1) + y = 28 (5 * 6 + y2 * 6) + -3(2y2 + 1) + y = 28 (30 + 6y2) + -3(2y2 + 1) + y = 28 Reorder the terms: 30 + 6y2 + -3(1 + 2y2) + y = 28 30 + 6y2 + (1 * -3 + 2y2 * -3) + y = 28 30 + 6y2 + (-3 + -6y2) + y = 28 Reorder the terms: 30 + -3 + y + 6y2 + -6y2 = 28 Combine like terms: 30 + -3 = 27 27 + y + 6y2 + -6y2 = 28 Combine like terms: 6y2 + -6y2 = 0 27 + y + 0 = 28 27 + y = 28 Solving 27 + y = 28 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + y = 28 + -27 Combine like terms: 27 + -27 = 0 0 + y = 28 + -27 y = 28 + -27 Combine like terms: 28 + -27 = 1 y = 1 Simplifying y = 1
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