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Simplifying (y + -9) + -1(y + 9) = 6y Reorder the terms: (-9 + y) + -1(y + 9) = 6y Remove parenthesis around (-9 + y) -9 + y + -1(y + 9) = 6y Reorder the terms: -9 + y + -1(9 + y) = 6y -9 + y + (9 * -1 + y * -1) = 6y -9 + y + (-9 + -1y) = 6y Reorder the terms: -9 + -9 + y + -1y = 6y Combine like terms: -9 + -9 = -18 -18 + y + -1y = 6y Combine like terms: y + -1y = 0 -18 + 0 = 6y -18 = 6y Solving -18 = 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. -18 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -18 + -6y = 0 Add '18' to each side of the equation. -18 + 18 + -6y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -6y = 0 + 18 -6y = 0 + 18 Combine like terms: 0 + 18 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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