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Simplifying 20y + -1[11(3 + -1y) + -11] = 5y + 2(5 + -3y) 20y + -1[(3 * 11 + -1y * 11) + -11] = 5y + 2(5 + -3y) 20y + -1[(33 + -11y) + -11] = 5y + 2(5 + -3y) Reorder the terms: 20y + -1[33 + -11 + -11y] = 5y + 2(5 + -3y) Combine like terms: 33 + -11 = 22 20y + -1[22 + -11y] = 5y + 2(5 + -3y) 20y + [22 * -1 + -11y * -1] = 5y + 2(5 + -3y) 20y + [-22 + 11y] = 5y + 2(5 + -3y) Reorder the terms: -22 + 20y + 11y = 5y + 2(5 + -3y) Combine like terms: 20y + 11y = 31y -22 + 31y = 5y + 2(5 + -3y) -22 + 31y = 5y + (5 * 2 + -3y * 2) -22 + 31y = 5y + (10 + -6y) Reorder the terms: -22 + 31y = 10 + 5y + -6y Combine like terms: 5y + -6y = -1y -22 + 31y = 10 + -1y Solving -22 + 31y = 10 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -22 + 31y + y = 10 + -1y + y Combine like terms: 31y + y = 32y -22 + 32y = 10 + -1y + y Combine like terms: -1y + y = 0 -22 + 32y = 10 + 0 -22 + 32y = 10 Add '22' to each side of the equation. -22 + 22 + 32y = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 32y = 10 + 22 32y = 10 + 22 Combine like terms: 10 + 22 = 32 32y = 32 Divide each side by '32'. y = 1 Simplifying y = 1
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