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Simplifying 9(y + 4) + y = 2(y + 2) + 6 Reorder the terms: 9(4 + y) + y = 2(y + 2) + 6 (4 * 9 + y * 9) + y = 2(y + 2) + 6 (36 + 9y) + y = 2(y + 2) + 6 Combine like terms: 9y + y = 10y 36 + 10y = 2(y + 2) + 6 Reorder the terms: 36 + 10y = 2(2 + y) + 6 36 + 10y = (2 * 2 + y * 2) + 6 36 + 10y = (4 + 2y) + 6 Reorder the terms: 36 + 10y = 4 + 6 + 2y Combine like terms: 4 + 6 = 10 36 + 10y = 10 + 2y Solving 36 + 10y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 36 + 10y + -2y = 10 + 2y + -2y Combine like terms: 10y + -2y = 8y 36 + 8y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + 8y = 10 + 0 36 + 8y = 10 Add '-36' to each side of the equation. 36 + -36 + 8y = 10 + -36 Combine like terms: 36 + -36 = 0 0 + 8y = 10 + -36 8y = 10 + -36 Combine like terms: 10 + -36 = -26 8y = -26 Divide each side by '8'. y = -3.25 Simplifying y = -3.25
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