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Simplifying y + 3(5y + 3) = 9(y + 1) + 5y Reorder the terms: y + 3(3 + 5y) = 9(y + 1) + 5y y + (3 * 3 + 5y * 3) = 9(y + 1) + 5y y + (9 + 15y) = 9(y + 1) + 5y Reorder the terms: 9 + y + 15y = 9(y + 1) + 5y Combine like terms: y + 15y = 16y 9 + 16y = 9(y + 1) + 5y Reorder the terms: 9 + 16y = 9(1 + y) + 5y 9 + 16y = (1 * 9 + y * 9) + 5y 9 + 16y = (9 + 9y) + 5y Combine like terms: 9y + 5y = 14y 9 + 16y = 9 + 14y Add '-9' to each side of the equation. 9 + -9 + 16y = 9 + -9 + 14y Combine like terms: 9 + -9 = 0 0 + 16y = 9 + -9 + 14y 16y = 9 + -9 + 14y Combine like terms: 9 + -9 = 0 16y = 0 + 14y 16y = 14y Solving 16y = 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 16y + -14y = 14y + -14y Combine like terms: 16y + -14y = 2y 2y = 14y + -14y Combine like terms: 14y + -14y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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