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Simplifying (3y + -5) * 2 + -13(3y + -5) + 42 = 0 Reorder the terms: (-5 + 3y) * 2 + -13(3y + -5) + 42 = 0 Reorder the terms for easier multiplication: 2(-5 + 3y) + -13(3y + -5) + 42 = 0 (-5 * 2 + 3y * 2) + -13(3y + -5) + 42 = 0 (-10 + 6y) + -13(3y + -5) + 42 = 0 Reorder the terms: -10 + 6y + -13(-5 + 3y) + 42 = 0 -10 + 6y + (-5 * -13 + 3y * -13) + 42 = 0 -10 + 6y + (65 + -39y) + 42 = 0 Reorder the terms: -10 + 65 + 42 + 6y + -39y = 0 Combine like terms: -10 + 65 = 55 55 + 42 + 6y + -39y = 0 Combine like terms: 55 + 42 = 97 97 + 6y + -39y = 0 Combine like terms: 6y + -39y = -33y 97 + -33y = 0 Solving 97 + -33y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-97' to each side of the equation. 97 + -97 + -33y = 0 + -97 Combine like terms: 97 + -97 = 0 0 + -33y = 0 + -97 -33y = 0 + -97 Combine like terms: 0 + -97 = -97 -33y = -97 Divide each side by '-33'. y = 2.939393939 Simplifying y = 2.939393939
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