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Simplifying 5y + -4 + y + 42 = 8y + 40 + -4y Reorder the terms: -4 + 42 + 5y + y = 8y + 40 + -4y Combine like terms: -4 + 42 = 38 38 + 5y + y = 8y + 40 + -4y Combine like terms: 5y + y = 6y 38 + 6y = 8y + 40 + -4y Reorder the terms: 38 + 6y = 40 + 8y + -4y Combine like terms: 8y + -4y = 4y 38 + 6y = 40 + 4y Solving 38 + 6y = 40 + 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. 38 + 6y + -4y = 40 + 4y + -4y Combine like terms: 6y + -4y = 2y 38 + 2y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 38 + 2y = 40 + 0 38 + 2y = 40 Add '-38' to each side of the equation. 38 + -38 + 2y = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 2y = 40 + -38 2y = 40 + -38 Combine like terms: 40 + -38 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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