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Simplifying (y + -6) + -1(y + 6) = 9y Reorder the terms: (-6 + y) + -1(y + 6) = 9y Remove parenthesis around (-6 + y) -6 + y + -1(y + 6) = 9y Reorder the terms: -6 + y + -1(6 + y) = 9y -6 + y + (6 * -1 + y * -1) = 9y -6 + y + (-6 + -1y) = 9y Reorder the terms: -6 + -6 + y + -1y = 9y Combine like terms: -6 + -6 = -12 -12 + y + -1y = 9y Combine like terms: y + -1y = 0 -12 + 0 = 9y -12 = 9y Solving -12 = 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -12 + -9y = 9y + -9y Combine like terms: 9y + -9y = 0 -12 + -9y = 0 Add '12' to each side of the equation. -12 + 12 + -9y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -9y = 0 + 12 -9y = 0 + 12 Combine like terms: 0 + 12 = 12 -9y = 12 Divide each side by '-9'. y = -1.333333333 Simplifying y = -1.333333333
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