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Simplifying y = 20 + -1[5 + 7y + -2(2y + 5)] Reorder the terms: y = 20 + -1[5 + 7y + -2(5 + 2y)] y = 20 + -1[5 + 7y + (5 * -2 + 2y * -2)] y = 20 + -1[5 + 7y + (-10 + -4y)] Reorder the terms: y = 20 + -1[5 + -10 + 7y + -4y] Combine like terms: 5 + -10 = -5 y = 20 + -1[-5 + 7y + -4y] Combine like terms: 7y + -4y = 3y y = 20 + -1[-5 + 3y] y = 20 + [-5 * -1 + 3y * -1] y = 20 + [5 + -3y] Combine like terms: 20 + 5 = 25 y = 25 + -3y Solving y = 25 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. y + 3y = 25 + -3y + 3y Combine like terms: y + 3y = 4y 4y = 25 + -3y + 3y Combine like terms: -3y + 3y = 0 4y = 25 + 0 4y = 25 Divide each side by '4'. y = 6.25 Simplifying y = 6.25
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