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Simplifying 8y + -13(7y + 9) = 381 Reorder the terms: 8y + -13(9 + 7y) = 381 8y + (9 * -13 + 7y * -13) = 381 8y + (-117 + -91y) = 381 Reorder the terms: -117 + 8y + -91y = 381 Combine like terms: 8y + -91y = -83y -117 + -83y = 381 Solving -117 + -83y = 381 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '117' to each side of the equation. -117 + 117 + -83y = 381 + 117 Combine like terms: -117 + 117 = 0 0 + -83y = 381 + 117 -83y = 381 + 117 Combine like terms: 381 + 117 = 498 -83y = 498 Divide each side by '-83'. y = -6 Simplifying y = -6
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