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Simplifying -78 = 5y + 27 + -8y Reorder the terms: -78 = 27 + 5y + -8y Combine like terms: 5y + -8y = -3y -78 = 27 + -3y Solving -78 = 27 + -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. -78 + 3y = 27 + -3y + 3y Combine like terms: -3y + 3y = 0 -78 + 3y = 27 + 0 -78 + 3y = 27 Add '78' to each side of the equation. -78 + 78 + 3y = 27 + 78 Combine like terms: -78 + 78 = 0 0 + 3y = 27 + 78 3y = 27 + 78 Combine like terms: 27 + 78 = 105 3y = 105 Divide each side by '3'. y = 35 Simplifying y = 35
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