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Simplifying 9(y + 5) + y = 4(y + 5) + 2 Reorder the terms: 9(5 + y) + y = 4(y + 5) + 2 (5 * 9 + y * 9) + y = 4(y + 5) + 2 (45 + 9y) + y = 4(y + 5) + 2 Combine like terms: 9y + y = 10y 45 + 10y = 4(y + 5) + 2 Reorder the terms: 45 + 10y = 4(5 + y) + 2 45 + 10y = (5 * 4 + y * 4) + 2 45 + 10y = (20 + 4y) + 2 Reorder the terms: 45 + 10y = 20 + 2 + 4y Combine like terms: 20 + 2 = 22 45 + 10y = 22 + 4y Solving 45 + 10y = 22 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 45 + 10y + -4y = 22 + 4y + -4y Combine like terms: 10y + -4y = 6y 45 + 6y = 22 + 4y + -4y Combine like terms: 4y + -4y = 0 45 + 6y = 22 + 0 45 + 6y = 22 Add '-45' to each side of the equation. 45 + -45 + 6y = 22 + -45 Combine like terms: 45 + -45 = 0 0 + 6y = 22 + -45 6y = 22 + -45 Combine like terms: 22 + -45 = -23 6y = -23 Divide each side by '6'. y = -3.833333333 Simplifying y = -3.833333333
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