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Simplifying -5y + -1(-9y + 5) = -9 + -2(2 + -1y) Reorder the terms: -5y + -1(5 + -9y) = -9 + -2(2 + -1y) -5y + (5 * -1 + -9y * -1) = -9 + -2(2 + -1y) -5y + (-5 + 9y) = -9 + -2(2 + -1y) Reorder the terms: -5 + -5y + 9y = -9 + -2(2 + -1y) Combine like terms: -5y + 9y = 4y -5 + 4y = -9 + -2(2 + -1y) -5 + 4y = -9 + (2 * -2 + -1y * -2) -5 + 4y = -9 + (-4 + 2y) Combine like terms: -9 + -4 = -13 -5 + 4y = -13 + 2y Solving -5 + 4y = -13 + 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. -5 + 4y + -2y = -13 + 2y + -2y Combine like terms: 4y + -2y = 2y -5 + 2y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + 2y = -13 + 0 -5 + 2y = -13 Add '5' to each side of the equation. -5 + 5 + 2y = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -13 + 5 2y = -13 + 5 Combine like terms: -13 + 5 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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