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Simplifying 5y + -4 + y + 42 = 7y + 50 + -5y Reorder the terms: -4 + 42 + 5y + y = 7y + 50 + -5y Combine like terms: -4 + 42 = 38 38 + 5y + y = 7y + 50 + -5y Combine like terms: 5y + y = 6y 38 + 6y = 7y + 50 + -5y Reorder the terms: 38 + 6y = 50 + 7y + -5y Combine like terms: 7y + -5y = 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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