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Simplifying 13y + 2[3(y + 5)] = 68 Reorder the terms: 13y + 2[3(5 + y)] = 68 13y + 2[(5 * 3 + y * 3)] = 68 13y + 2[(15 + 3y)] = 68 13y + [15 * 2 + 3y * 2] = 68 13y + [30 + 6y] = 68 Reorder the terms: 30 + 13y + 6y = 68 Combine like terms: 13y + 6y = 19y 30 + 19y = 68 Solving 30 + 19y = 68 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 19y = 68 + -30 Combine like terms: 30 + -30 = 0 0 + 19y = 68 + -30 19y = 68 + -30 Combine like terms: 68 + -30 = 38 19y = 38 Divide each side by '19'. y = 2 Simplifying y = 2
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