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Simplifying -8(y + 9) = 1 + -7y Reorder the terms: -8(9 + y) = 1 + -7y (9 * -8 + y * -8) = 1 + -7y (-72 + -8y) = 1 + -7y Solving -72 + -8y = 1 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -72 + -8y + 7y = 1 + -7y + 7y Combine like terms: -8y + 7y = -1y -72 + -1y = 1 + -7y + 7y Combine like terms: -7y + 7y = 0 -72 + -1y = 1 + 0 -72 + -1y = 1 Add '72' to each side of the equation. -72 + 72 + -1y = 1 + 72 Combine like terms: -72 + 72 = 0 0 + -1y = 1 + 72 -1y = 1 + 72 Combine like terms: 1 + 72 = 73 -1y = 73 Divide each side by '-1'. y = -73 Simplifying y = -73
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