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Simplifying 7(y + -9) = 8 + 8y Reorder the terms: 7(-9 + y) = 8 + 8y (-9 * 7 + y * 7) = 8 + 8y (-63 + 7y) = 8 + 8y Solving -63 + 7y = 8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -63 + 7y + -8y = 8 + 8y + -8y Combine like terms: 7y + -8y = -1y -63 + -1y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 -63 + -1y = 8 + 0 -63 + -1y = 8 Add '63' to each side of the equation. -63 + 63 + -1y = 8 + 63 Combine like terms: -63 + 63 = 0 0 + -1y = 8 + 63 -1y = 8 + 63 Combine like terms: 8 + 63 = 71 -1y = 71 Divide each side by '-1'. y = -71 Simplifying y = -71
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