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Simplifying 29.7y + 9(-40.1y + -50.27) = 9(-36.9y + -39.92) Reorder the terms: 29.7y + 9(-50.27 + -40.1y) = 9(-36.9y + -39.92) 29.7y + (-50.27 * 9 + -40.1y * 9) = 9(-36.9y + -39.92) 29.7y + (-452.43 + -360.9y) = 9(-36.9y + -39.92) Reorder the terms: -452.43 + 29.7y + -360.9y = 9(-36.9y + -39.92) Combine like terms: 29.7y + -360.9y = -331.2y -452.43 + -331.2y = 9(-36.9y + -39.92) Reorder the terms: -452.43 + -331.2y = 9(-39.92 + -36.9y) -452.43 + -331.2y = (-39.92 * 9 + -36.9y * 9) -452.43 + -331.2y = (-359.28 + -332.1y) Solving -452.43 + -331.2y = -359.28 + -332.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '332.1y' to each side of the equation. -452.43 + -331.2y + 332.1y = -359.28 + -332.1y + 332.1y Combine like terms: -331.2y + 332.1y = 0.9y -452.43 + 0.9y = -359.28 + -332.1y + 332.1y Combine like terms: -332.1y + 332.1y = 0.0 -452.43 + 0.9y = -359.28 + 0.0 -452.43 + 0.9y = -359.28 Add '452.43' to each side of the equation. -452.43 + 452.43 + 0.9y = -359.28 + 452.43 Combine like terms: -452.43 + 452.43 = 0.00 0.00 + 0.9y = -359.28 + 452.43 0.9y = -359.28 + 452.43 Combine like terms: -359.28 + 452.43 = 93.15 0.9y = 93.15 Divide each side by '0.9'. y = 103.5 Simplifying y = 103.5
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