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Simplifying -8(y + -9) = 6 + -7y Reorder the terms: -8(-9 + y) = 6 + -7y (-9 * -8 + y * -8) = 6 + -7y (72 + -8y) = 6 + -7y Solving 72 + -8y = 6 + -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 = 6 + -7y + 7y Combine like terms: -8y + 7y = -1y 72 + -1y = 6 + -7y + 7y Combine like terms: -7y + 7y = 0 72 + -1y = 6 + 0 72 + -1y = 6 Add '-72' to each side of the equation. 72 + -72 + -1y = 6 + -72 Combine like terms: 72 + -72 = 0 0 + -1y = 6 + -72 -1y = 6 + -72 Combine like terms: 6 + -72 = -66 -1y = -66 Divide each side by '-1'. y = 66 Simplifying y = 66
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