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Simplifying 3y + -2 + y + 16 = 8 + 8y + 12 + -6y Reorder the terms: -2 + 16 + 3y + y = 8 + 8y + 12 + -6y Combine like terms: -2 + 16 = 14 14 + 3y + y = 8 + 8y + 12 + -6y Combine like terms: 3y + y = 4y 14 + 4y = 8 + 8y + 12 + -6y Reorder the terms: 14 + 4y = 8 + 12 + 8y + -6y Combine like terms: 8 + 12 = 20 14 + 4y = 20 + 8y + -6y Combine like terms: 8y + -6y = 2y 14 + 4y = 20 + 2y Solving 14 + 4y = 20 + 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. 14 + 4y + -2y = 20 + 2y + -2y Combine like terms: 4y + -2y = 2y 14 + 2y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + 2y = 20 + 0 14 + 2y = 20 Add '-14' to each side of the equation. 14 + -14 + 2y = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2y = 20 + -14 2y = 20 + -14 Combine like terms: 20 + -14 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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