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Simplifying 3y + 8 + y + 46 = 5y + 40 + -3y Reorder the terms: 8 + 46 + 3y + y = 5y + 40 + -3y Combine like terms: 8 + 46 = 54 54 + 3y + y = 5y + 40 + -3y Combine like terms: 3y + y = 4y 54 + 4y = 5y + 40 + -3y Reorder the terms: 54 + 4y = 40 + 5y + -3y Combine like terms: 5y + -3y = 2y 54 + 4y = 40 + 2y Solving 54 + 4y = 40 + 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. 54 + 4y + -2y = 40 + 2y + -2y Combine like terms: 4y + -2y = 2y 54 + 2y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 54 + 2y = 40 + 0 54 + 2y = 40 Add '-54' to each side of the equation. 54 + -54 + 2y = 40 + -54 Combine like terms: 54 + -54 = 0 0 + 2y = 40 + -54 2y = 40 + -54 Combine like terms: 40 + -54 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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