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Simplifying 5y + [3(5y + 11)] + -21 = 13 Reorder the terms: 5y + [3(11 + 5y)] + -21 = 13 5y + [(11 * 3 + 5y * 3)] + -21 = 13 5y + [(33 + 15y)] + -21 = 13 5y + [33 + 15y] + -21 = 13 Remove brackets around [33 + 15y] 5y + 33 + 15y + -21 = 13 Reorder the terms: 33 + -21 + 5y + 15y = 13 Combine like terms: 33 + -21 = 12 12 + 5y + 15y = 13 Combine like terms: 5y + 15y = 20y 12 + 20y = 13 Solving 12 + 20y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 20y = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 20y = 13 + -12 20y = 13 + -12 Combine like terms: 13 + -12 = 1 20y = 1 Divide each side by '20'. y = 0.05 Simplifying y = 0.05
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