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Simplifying 20y + -1[9(10 + -1y) + -12] = 6y + 3(6 + -3y) 20y + -1[(10 * 9 + -1y * 9) + -12] = 6y + 3(6 + -3y) 20y + -1[(90 + -9y) + -12] = 6y + 3(6 + -3y) Reorder the terms: 20y + -1[90 + -12 + -9y] = 6y + 3(6 + -3y) Combine like terms: 90 + -12 = 78 20y + -1[78 + -9y] = 6y + 3(6 + -3y) 20y + [78 * -1 + -9y * -1] = 6y + 3(6 + -3y) 20y + [-78 + 9y] = 6y + 3(6 + -3y) Reorder the terms: -78 + 20y + 9y = 6y + 3(6 + -3y) Combine like terms: 20y + 9y = 29y -78 + 29y = 6y + 3(6 + -3y) -78 + 29y = 6y + (6 * 3 + -3y * 3) -78 + 29y = 6y + (18 + -9y) Reorder the terms: -78 + 29y = 18 + 6y + -9y Combine like terms: 6y + -9y = -3y -78 + 29y = 18 + -3y Solving -78 + 29y = 18 + -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. -78 + 29y + 3y = 18 + -3y + 3y Combine like terms: 29y + 3y = 32y -78 + 32y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 -78 + 32y = 18 + 0 -78 + 32y = 18 Add '78' to each side of the equation. -78 + 78 + 32y = 18 + 78 Combine like terms: -78 + 78 = 0 0 + 32y = 18 + 78 32y = 18 + 78 Combine like terms: 18 + 78 = 96 32y = 96 Divide each side by '32'. y = 3 Simplifying y = 3
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