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Simplifying (y + -9) + -1(y + -8) = 6y Reorder the terms: (-9 + y) + -1(y + -8) = 6y Remove parenthesis around (-9 + y) -9 + y + -1(y + -8) = 6y Reorder the terms: -9 + y + -1(-8 + y) = 6y -9 + y + (-8 * -1 + y * -1) = 6y -9 + y + (8 + -1y) = 6y Reorder the terms: -9 + 8 + y + -1y = 6y Combine like terms: -9 + 8 = -1 -1 + y + -1y = 6y Combine like terms: y + -1y = 0 -1 + 0 = 6y -1 = 6y Solving -1 = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -1 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -1 + -6y = 0 Add '1' to each side of the equation. -1 + 1 + -6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6y = 0 + 1 -6y = 0 + 1 Combine like terms: 0 + 1 = 1 -6y = 1 Divide each side by '-6'. y = -0.1666666667 Simplifying y = -0.1666666667
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