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Simplifying 29 + 9y = 2(3y + 5) + 2(2y + 8) Reorder the terms: 29 + 9y = 2(5 + 3y) + 2(2y + 8) 29 + 9y = (5 * 2 + 3y * 2) + 2(2y + 8) 29 + 9y = (10 + 6y) + 2(2y + 8) Reorder the terms: 29 + 9y = 10 + 6y + 2(8 + 2y) 29 + 9y = 10 + 6y + (8 * 2 + 2y * 2) 29 + 9y = 10 + 6y + (16 + 4y) Reorder the terms: 29 + 9y = 10 + 16 + 6y + 4y Combine like terms: 10 + 16 = 26 29 + 9y = 26 + 6y + 4y Combine like terms: 6y + 4y = 10y 29 + 9y = 26 + 10y Solving 29 + 9y = 26 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 29 + 9y + -10y = 26 + 10y + -10y Combine like terms: 9y + -10y = -1y 29 + -1y = 26 + 10y + -10y Combine like terms: 10y + -10y = 0 29 + -1y = 26 + 0 29 + -1y = 26 Add '-29' to each side of the equation. 29 + -29 + -1y = 26 + -29 Combine like terms: 29 + -29 = 0 0 + -1y = 26 + -29 -1y = 26 + -29 Combine like terms: 26 + -29 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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