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Simplifying 2 + -1(-9y + 7) = -5(-4y + -1) + 9 Reorder the terms: 2 + -1(7 + -9y) = -5(-4y + -1) + 9 2 + (7 * -1 + -9y * -1) = -5(-4y + -1) + 9 2 + (-7 + 9y) = -5(-4y + -1) + 9 Combine like terms: 2 + -7 = -5 -5 + 9y = -5(-4y + -1) + 9 Reorder the terms: -5 + 9y = -5(-1 + -4y) + 9 -5 + 9y = (-1 * -5 + -4y * -5) + 9 -5 + 9y = (5 + 20y) + 9 Reorder the terms: -5 + 9y = 5 + 9 + 20y Combine like terms: 5 + 9 = 14 -5 + 9y = 14 + 20y Solving -5 + 9y = 14 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -5 + 9y + -20y = 14 + 20y + -20y Combine like terms: 9y + -20y = -11y -5 + -11y = 14 + 20y + -20y Combine like terms: 20y + -20y = 0 -5 + -11y = 14 + 0 -5 + -11y = 14 Add '5' to each side of the equation. -5 + 5 + -11y = 14 + 5 Combine like terms: -5 + 5 = 0 0 + -11y = 14 + 5 -11y = 14 + 5 Combine like terms: 14 + 5 = 19 -11y = 19 Divide each side by '-11'. y = -1.727272727 Simplifying y = -1.727272727
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