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Simplifying 5y + -3 + y + 41 = 5 + 8y + 45 + -6y Reorder the terms: -3 + 41 + 5y + y = 5 + 8y + 45 + -6y Combine like terms: -3 + 41 = 38 38 + 5y + y = 5 + 8y + 45 + -6y Combine like terms: 5y + y = 6y 38 + 6y = 5 + 8y + 45 + -6y Reorder the terms: 38 + 6y = 5 + 45 + 8y + -6y Combine like terms: 5 + 45 = 50 38 + 6y = 50 + 8y + -6y Combine like terms: 8y + -6y = 2y 38 + 6y = 50 + 2y Solving 38 + 6y = 50 + 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. 38 + 6y + -2y = 50 + 2y + -2y Combine like terms: 6y + -2y = 4y 38 + 4y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 38 + 4y = 50 + 0 38 + 4y = 50 Add '-38' to each side of the equation. 38 + -38 + 4y = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 4y = 50 + -38 4y = 50 + -38 Combine like terms: 50 + -38 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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