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Simplifying 12y + 8 + -6y = 4y + 12 + 16 Reorder the terms: 8 + 12y + -6y = 4y + 12 + 16 Combine like terms: 12y + -6y = 6y 8 + 6y = 4y + 12 + 16 Reorder the terms: 8 + 6y = 12 + 16 + 4y Combine like terms: 12 + 16 = 28 8 + 6y = 28 + 4y Solving 8 + 6y = 28 + 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. 8 + 6y + -4y = 28 + 4y + -4y Combine like terms: 6y + -4y = 2y 8 + 2y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 2y = 28 + 0 8 + 2y = 28 Add '-8' to each side of the equation. 8 + -8 + 2y = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 28 + -8 2y = 28 + -8 Combine like terms: 28 + -8 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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