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Simplifying 9(y + -1) + -10(y + -9) = 77 Reorder the terms: 9(-1 + y) + -10(y + -9) = 77 (-1 * 9 + y * 9) + -10(y + -9) = 77 (-9 + 9y) + -10(y + -9) = 77 Reorder the terms: -9 + 9y + -10(-9 + y) = 77 -9 + 9y + (-9 * -10 + y * -10) = 77 -9 + 9y + (90 + -10y) = 77 Reorder the terms: -9 + 90 + 9y + -10y = 77 Combine like terms: -9 + 90 = 81 81 + 9y + -10y = 77 Combine like terms: 9y + -10y = -1y 81 + -1y = 77 Solving 81 + -1y = 77 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -1y = 77 + -81 Combine like terms: 81 + -81 = 0 0 + -1y = 77 + -81 -1y = 77 + -81 Combine like terms: 77 + -81 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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