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Simplifying 3(2y + 5) = 34 + -7y Reorder the terms: 3(5 + 2y) = 34 + -7y (5 * 3 + 2y * 3) = 34 + -7y (15 + 6y) = 34 + -7y Solving 15 + 6y = 34 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 15 + 6y + 7y = 34 + -7y + 7y Combine like terms: 6y + 7y = 13y 15 + 13y = 34 + -7y + 7y Combine like terms: -7y + 7y = 0 15 + 13y = 34 + 0 15 + 13y = 34 Add '-15' to each side of the equation. 15 + -15 + 13y = 34 + -15 Combine like terms: 15 + -15 = 0 0 + 13y = 34 + -15 13y = 34 + -15 Combine like terms: 34 + -15 = 19 13y = 19 Divide each side by '13'. y = 1.461538462 Simplifying y = 1.461538462
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