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Simplifying -3(3y + -5) + 7(11 + 6y) = 0 Reorder the terms: -3(-5 + 3y) + 7(11 + 6y) = 0 (-5 * -3 + 3y * -3) + 7(11 + 6y) = 0 (15 + -9y) + 7(11 + 6y) = 0 15 + -9y + (11 * 7 + 6y * 7) = 0 15 + -9y + (77 + 42y) = 0 Reorder the terms: 15 + 77 + -9y + 42y = 0 Combine like terms: 15 + 77 = 92 92 + -9y + 42y = 0 Combine like terms: -9y + 42y = 33y 92 + 33y = 0 Solving 92 + 33y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + 33y = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 33y = 0 + -92 33y = 0 + -92 Combine like terms: 0 + -92 = -92 33y = -92 Divide each side by '33'. y = -2.787878788 Simplifying y = -2.787878788
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