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Simplifying y = 5(y + 5.66) + 7 Reorder the terms: y = 5(5.66 + y) + 7 y = (5.66 * 5 + y * 5) + 7 y = (28.3 + 5y) + 7 Reorder the terms: y = 28.3 + 7 + 5y Combine like terms: 28.3 + 7 = 35.3 y = 35.3 + 5y Solving y = 35.3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. y + -5y = 35.3 + 5y + -5y Combine like terms: y + -5y = -4y -4y = 35.3 + 5y + -5y Combine like terms: 5y + -5y = 0 -4y = 35.3 + 0 -4y = 35.3 Divide each side by '-4'. y = -8.825 Simplifying y = -8.825
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