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Simplifying 3y + (-5y + -1(y + 3)) = 8y + -1(5y + -9) Reorder the terms: 3y + (-5y + -1(3 + y)) = 8y + -1(5y + -9) 3y + (-5y + (3 * -1 + y * -1)) = 8y + -1(5y + -9) 3y + (-5y + (-3 + -1y)) = 8y + -1(5y + -9) Reorder the terms: 3y + (-3 + -5y + -1y) = 8y + -1(5y + -9) Combine like terms: -5y + -1y = -6y 3y + (-3 + -6y) = 8y + -1(5y + -9) Remove parenthesis around (-3 + -6y) 3y + -3 + -6y = 8y + -1(5y + -9) Reorder the terms: -3 + 3y + -6y = 8y + -1(5y + -9) Combine like terms: 3y + -6y = -3y -3 + -3y = 8y + -1(5y + -9) Reorder the terms: -3 + -3y = 8y + -1(-9 + 5y) -3 + -3y = 8y + (-9 * -1 + 5y * -1) -3 + -3y = 8y + (9 + -5y) Reorder the terms: -3 + -3y = 9 + 8y + -5y Combine like terms: 8y + -5y = 3y -3 + -3y = 9 + 3y Solving -3 + -3y = 9 + 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. -3 + -3y + -3y = 9 + 3y + -3y Combine like terms: -3y + -3y = -6y -3 + -6y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -3 + -6y = 9 + 0 -3 + -6y = 9 Add '3' to each side of the equation. -3 + 3 + -6y = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -6y = 9 + 3 -6y = 9 + 3 Combine like terms: 9 + 3 = 12 -6y = 12 Divide each side by '-6'. y = -2 Simplifying y = -2
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