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Simplifying 9(y + -9) + -1(8y + -7) = 7 Reorder the terms: 9(-9 + y) + -1(8y + -7) = 7 (-9 * 9 + y * 9) + -1(8y + -7) = 7 (-81 + 9y) + -1(8y + -7) = 7 Reorder the terms: -81 + 9y + -1(-7 + 8y) = 7 -81 + 9y + (-7 * -1 + 8y * -1) = 7 -81 + 9y + (7 + -8y) = 7 Reorder the terms: -81 + 7 + 9y + -8y = 7 Combine like terms: -81 + 7 = -74 -74 + 9y + -8y = 7 Combine like terms: 9y + -8y = 1y -74 + 1y = 7 Solving -74 + 1y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 1y = 7 + 74 Combine like terms: -74 + 74 = 0 0 + 1y = 7 + 74 1y = 7 + 74 Combine like terms: 7 + 74 = 81 1y = 81 Divide each side by '1'. y = 81 Simplifying y = 81
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