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Simplifying (y + -9) + -1(y + 5) = 5y Reorder the terms: (-9 + y) + -1(y + 5) = 5y Remove parenthesis around (-9 + y) -9 + y + -1(y + 5) = 5y Reorder the terms: -9 + y + -1(5 + y) = 5y -9 + y + (5 * -1 + y * -1) = 5y -9 + y + (-5 + -1y) = 5y Reorder the terms: -9 + -5 + y + -1y = 5y Combine like terms: -9 + -5 = -14 -14 + y + -1y = 5y Combine like terms: y + -1y = 0 -14 + 0 = 5y -14 = 5y Solving -14 = 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -14 + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 -14 + -5y = 0 Add '14' to each side of the equation. -14 + 14 + -5y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5y = 0 + 14 -5y = 0 + 14 Combine like terms: 0 + 14 = 14 -5y = 14 Divide each side by '-5'. y = -2.8 Simplifying y = -2.8
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