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Simplifying 6y + 5 + -3y = 1 + 2y + 9 Reorder the terms: 5 + 6y + -3y = 1 + 2y + 9 Combine like terms: 6y + -3y = 3y 5 + 3y = 1 + 2y + 9 Reorder the terms: 5 + 3y = 1 + 9 + 2y Combine like terms: 1 + 9 = 10 5 + 3y = 10 + 2y Solving 5 + 3y = 10 + 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. 5 + 3y + -2y = 10 + 2y + -2y Combine like terms: 3y + -2y = 1y 5 + 1y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 1y = 10 + 0 5 + 1y = 10 Add '-5' to each side of the equation. 5 + -5 + 1y = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 10 + -5 1y = 10 + -5 Combine like terms: 10 + -5 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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