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Simplifying 4(y + 9) + y = 2(y + 3) + 4 Reorder the terms: 4(9 + y) + y = 2(y + 3) + 4 (9 * 4 + y * 4) + y = 2(y + 3) + 4 (36 + 4y) + y = 2(y + 3) + 4 Combine like terms: 4y + y = 5y 36 + 5y = 2(y + 3) + 4 Reorder the terms: 36 + 5y = 2(3 + y) + 4 36 + 5y = (3 * 2 + y * 2) + 4 36 + 5y = (6 + 2y) + 4 Reorder the terms: 36 + 5y = 6 + 4 + 2y Combine like terms: 6 + 4 = 10 36 + 5y = 10 + 2y Solving 36 + 5y = 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 + 5y + -2y = 10 + 2y + -2y Combine like terms: 5y + -2y = 3y 36 + 3y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + 3y = 10 + 0 36 + 3y = 10 Add '-36' to each side of the equation. 36 + -36 + 3y = 10 + -36 Combine like terms: 36 + -36 = 0 0 + 3y = 10 + -36 3y = 10 + -36 Combine like terms: 10 + -36 = -26 3y = -26 Divide each side by '3'. y = -8.666666667 Simplifying y = -8.666666667
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