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Simplifying 4y + 2(5y + 1) + 4y + 2(5y + 1) = 204 Reorder the terms: 4y + 2(1 + 5y) + 4y + 2(5y + 1) = 204 4y + (1 * 2 + 5y * 2) + 4y + 2(5y + 1) = 204 4y + (2 + 10y) + 4y + 2(5y + 1) = 204 Reorder the terms: 4y + 2 + 10y + 4y + 2(1 + 5y) = 204 4y + 2 + 10y + 4y + (1 * 2 + 5y * 2) = 204 4y + 2 + 10y + 4y + (2 + 10y) = 204 Reorder the terms: 2 + 2 + 4y + 10y + 4y + 10y = 204 Combine like terms: 2 + 2 = 4 4 + 4y + 10y + 4y + 10y = 204 Combine like terms: 4y + 10y = 14y 4 + 14y + 4y + 10y = 204 Combine like terms: 14y + 4y = 18y 4 + 18y + 10y = 204 Combine like terms: 18y + 10y = 28y 4 + 28y = 204 Solving 4 + 28y = 204 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 28y = 204 + -4 Combine like terms: 4 + -4 = 0 0 + 28y = 204 + -4 28y = 204 + -4 Combine like terms: 204 + -4 = 200 28y = 200 Divide each side by '28'. y = 7.142857143 Simplifying y = 7.142857143
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