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Simplifying (y + -5) + -1(y + 4) = 2y Reorder the terms: (-5 + y) + -1(y + 4) = 2y Remove parenthesis around (-5 + y) -5 + y + -1(y + 4) = 2y Reorder the terms: -5 + y + -1(4 + y) = 2y -5 + y + (4 * -1 + y * -1) = 2y -5 + y + (-4 + -1y) = 2y Reorder the terms: -5 + -4 + y + -1y = 2y Combine like terms: -5 + -4 = -9 -9 + y + -1y = 2y Combine like terms: y + -1y = 0 -9 + 0 = 2y -9 = 2y Solving -9 = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -9 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -9 + -2y = 0 Add '9' to each side of the equation. -9 + 9 + -2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = 0 + 9 -2y = 0 + 9 Combine like terms: 0 + 9 = 9 -2y = 9 Divide each side by '-2'. y = -4.5 Simplifying y = -4.5
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