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Simplifying 20y + -1[10(7 + -1y) + -18] = 5y + 2(5 + -3y) 20y + -1[(7 * 10 + -1y * 10) + -18] = 5y + 2(5 + -3y) 20y + -1[(70 + -10y) + -18] = 5y + 2(5 + -3y) Reorder the terms: 20y + -1[70 + -18 + -10y] = 5y + 2(5 + -3y) Combine like terms: 70 + -18 = 52 20y + -1[52 + -10y] = 5y + 2(5 + -3y) 20y + [52 * -1 + -10y * -1] = 5y + 2(5 + -3y) 20y + [-52 + 10y] = 5y + 2(5 + -3y) Reorder the terms: -52 + 20y + 10y = 5y + 2(5 + -3y) Combine like terms: 20y + 10y = 30y -52 + 30y = 5y + 2(5 + -3y) -52 + 30y = 5y + (5 * 2 + -3y * 2) -52 + 30y = 5y + (10 + -6y) Reorder the terms: -52 + 30y = 10 + 5y + -6y Combine like terms: 5y + -6y = -1y -52 + 30y = 10 + -1y Solving -52 + 30y = 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. -52 + 30y + y = 10 + -1y + y Combine like terms: 30y + y = 31y -52 + 31y = 10 + -1y + y Combine like terms: -1y + y = 0 -52 + 31y = 10 + 0 -52 + 31y = 10 Add '52' to each side of the equation. -52 + 52 + 31y = 10 + 52 Combine like terms: -52 + 52 = 0 0 + 31y = 10 + 52 31y = 10 + 52 Combine like terms: 10 + 52 = 62 31y = 62 Divide each side by '31'. y = 2 Simplifying y = 2
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