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Simplifying (13y + -15) + -1(9 + 6y) = -3y Reorder the terms: (-15 + 13y) + -1(9 + 6y) = -3y Remove parenthesis around (-15 + 13y) -15 + 13y + -1(9 + 6y) = -3y -15 + 13y + (9 * -1 + 6y * -1) = -3y -15 + 13y + (-9 + -6y) = -3y Reorder the terms: -15 + -9 + 13y + -6y = -3y Combine like terms: -15 + -9 = -24 -24 + 13y + -6y = -3y Combine like terms: 13y + -6y = 7y -24 + 7y = -3y Solving -24 + 7y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -24 + 7y + 3y = -3y + 3y Combine like terms: 7y + 3y = 10y -24 + 10y = -3y + 3y Combine like terms: -3y + 3y = 0 -24 + 10y = 0 Add '24' to each side of the equation. -24 + 24 + 10y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 10y = 0 + 24 10y = 0 + 24 Combine like terms: 0 + 24 = 24 10y = 24 Divide each side by '10'. y = 2.4 Simplifying y = 2.4
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