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Simplifying 3y + -5 + y + 21 = 8y + 20 + -6y Reorder the terms: -5 + 21 + 3y + y = 8y + 20 + -6y Combine like terms: -5 + 21 = 16 16 + 3y + y = 8y + 20 + -6y Combine like terms: 3y + y = 4y 16 + 4y = 8y + 20 + -6y Reorder the terms: 16 + 4y = 20 + 8y + -6y Combine like terms: 8y + -6y = 2y 16 + 4y = 20 + 2y Solving 16 + 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. 16 + 4y + -2y = 20 + 2y + -2y Combine like terms: 4y + -2y = 2y 16 + 2y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 16 + 2y = 20 + 0 16 + 2y = 20 Add '-16' to each side of the equation. 16 + -16 + 2y = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = 20 + -16 2y = 20 + -16 Combine like terms: 20 + -16 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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