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Simplifying 114(4 + -6y) + 5(13y + 1) = -9 (4 * 114 + -6y * 114) + 5(13y + 1) = -9 (456 + -684y) + 5(13y + 1) = -9 Reorder the terms: 456 + -684y + 5(1 + 13y) = -9 456 + -684y + (1 * 5 + 13y * 5) = -9 456 + -684y + (5 + 65y) = -9 Reorder the terms: 456 + 5 + -684y + 65y = -9 Combine like terms: 456 + 5 = 461 461 + -684y + 65y = -9 Combine like terms: -684y + 65y = -619y 461 + -619y = -9 Solving 461 + -619y = -9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-461' to each side of the equation. 461 + -461 + -619y = -9 + -461 Combine like terms: 461 + -461 = 0 0 + -619y = -9 + -461 -619y = -9 + -461 Combine like terms: -9 + -461 = -470 -619y = -470 Divide each side by '-619'. y = 0.7592891761 Simplifying y = 0.7592891761
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