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Simplifying 5y + -54 = 3y + 40 Reorder the terms: -54 + 5y = 3y + 40 Reorder the terms: -54 + 5y = 40 + 3y Solving -54 + 5y = 40 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -54 + 5y + -3y = 40 + 3y + -3y Combine like terms: 5y + -3y = 2y -54 + 2y = 40 + 3y + -3y Combine like terms: 3y + -3y = 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 = 94 2y = 94 Divide each side by '2'. y = 47 Simplifying y = 47
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