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Simplifying -9(y + -7) = -8y + -6 Reorder the terms: -9(-7 + y) = -8y + -6 (-7 * -9 + y * -9) = -8y + -6 (63 + -9y) = -8y + -6 Reorder the terms: 63 + -9y = -6 + -8y Solving 63 + -9y = -6 + -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 + -9y + 8y = -6 + -8y + 8y Combine like terms: -9y + 8y = -1y 63 + -1y = -6 + -8y + 8y Combine like terms: -8y + 8y = 0 63 + -1y = -6 + 0 63 + -1y = -6 Add '-63' to each side of the equation. 63 + -63 + -1y = -6 + -63 Combine like terms: 63 + -63 = 0 0 + -1y = -6 + -63 -1y = -6 + -63 Combine like terms: -6 + -63 = -69 -1y = -69 Divide each side by '-1'. y = 69 Simplifying y = 69
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