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Simplifying (y + -9) + -1(y + 6) = 6y Reorder the terms: (-9 + y) + -1(y + 6) = 6y Remove parenthesis around (-9 + y) -9 + y + -1(y + 6) = 6y Reorder the terms: -9 + y + -1(6 + y) = 6y -9 + y + (6 * -1 + y * -1) = 6y -9 + y + (-6 + -1y) = 6y Reorder the terms: -9 + -6 + y + -1y = 6y Combine like terms: -9 + -6 = -15 -15 + y + -1y = 6y Combine like terms: y + -1y = 0 -15 + 0 = 6y -15 = 6y Solving -15 = 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. -15 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -15 + -6y = 0 Add '15' to each side of the equation. -15 + 15 + -6y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6y = 0 + 15 -6y = 0 + 15 Combine like terms: 0 + 15 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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