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Simplifying 3(6 + 7y) + (1 + 5y) = 42 (6 * 3 + 7y * 3) + (1 + 5y) = 42 (18 + 21y) + (1 + 5y) = 42 Remove parenthesis around (1 + 5y) 18 + 21y + 1 + 5y = 42 Reorder the terms: 18 + 1 + 21y + 5y = 42 Combine like terms: 18 + 1 = 19 19 + 21y + 5y = 42 Combine like terms: 21y + 5y = 26y 19 + 26y = 42 Solving 19 + 26y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 26y = 42 + -19 Combine like terms: 19 + -19 = 0 0 + 26y = 42 + -19 26y = 42 + -19 Combine like terms: 42 + -19 = 23 26y = 23 Divide each side by '26'. y = 0.8846153846 Simplifying y = 0.8846153846
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