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Simplifying 5(y + -1) + -3(y + 2) = -9 Reorder the terms: 5(-1 + y) + -3(y + 2) = -9 (-1 * 5 + y * 5) + -3(y + 2) = -9 (-5 + 5y) + -3(y + 2) = -9 Reorder the terms: -5 + 5y + -3(2 + y) = -9 -5 + 5y + (2 * -3 + y * -3) = -9 -5 + 5y + (-6 + -3y) = -9 Reorder the terms: -5 + -6 + 5y + -3y = -9 Combine like terms: -5 + -6 = -11 -11 + 5y + -3y = -9 Combine like terms: 5y + -3y = 2y -11 + 2y = -9 Solving -11 + 2y = -9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2y = -9 + 11 Combine like terms: -11 + 11 = 0 0 + 2y = -9 + 11 2y = -9 + 11 Combine like terms: -9 + 11 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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