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Simplifying 8[y + -7] + -3[2y + 9] = 15 Reorder the terms: 8[-7 + y] + -3[2y + 9] = 15 [-7 * 8 + y * 8] + -3[2y + 9] = 15 [-56 + 8y] + -3[2y + 9] = 15 Reorder the terms: -56 + 8y + -3[9 + 2y] = 15 -56 + 8y + [9 * -3 + 2y * -3] = 15 -56 + 8y + [-27 + -6y] = 15 Reorder the terms: -56 + -27 + 8y + -6y = 15 Combine like terms: -56 + -27 = -83 -83 + 8y + -6y = 15 Combine like terms: 8y + -6y = 2y -83 + 2y = 15 Solving -83 + 2y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + 2y = 15 + 83 Combine like terms: -83 + 83 = 0 0 + 2y = 15 + 83 2y = 15 + 83 Combine like terms: 15 + 83 = 98 2y = 98 Divide each side by '2'. y = 49 Simplifying y = 49
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