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Simplifying 4y + -7 + y + 48 = 8 + 5y + 42 + -3y Reorder the terms: -7 + 48 + 4y + y = 8 + 5y + 42 + -3y Combine like terms: -7 + 48 = 41 41 + 4y + y = 8 + 5y + 42 + -3y Combine like terms: 4y + y = 5y 41 + 5y = 8 + 5y + 42 + -3y Reorder the terms: 41 + 5y = 8 + 42 + 5y + -3y Combine like terms: 8 + 42 = 50 41 + 5y = 50 + 5y + -3y Combine like terms: 5y + -3y = 2y 41 + 5y = 50 + 2y Solving 41 + 5y = 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. 41 + 5y + -2y = 50 + 2y + -2y Combine like terms: 5y + -2y = 3y 41 + 3y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 41 + 3y = 50 + 0 41 + 3y = 50 Add '-41' to each side of the equation. 41 + -41 + 3y = 50 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 50 + -41 3y = 50 + -41 Combine like terms: 50 + -41 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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