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Simplifying (y + -5) + -1(y + 8) = 6y Reorder the terms: (-5 + y) + -1(y + 8) = 6y Remove parenthesis around (-5 + y) -5 + y + -1(y + 8) = 6y Reorder the terms: -5 + y + -1(8 + y) = 6y -5 + y + (8 * -1 + y * -1) = 6y -5 + y + (-8 + -1y) = 6y Reorder the terms: -5 + -8 + y + -1y = 6y Combine like terms: -5 + -8 = -13 -13 + y + -1y = 6y Combine like terms: y + -1y = 0 -13 + 0 = 6y -13 = 6y Solving -13 = 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. -13 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -13 + -6y = 0 Add '13' to each side of the equation. -13 + 13 + -6y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6y = 0 + 13 -6y = 0 + 13 Combine like terms: 0 + 13 = 13 -6y = 13 Divide each side by '-6'. y = -2.166666667 Simplifying y = -2.166666667
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