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Simplifying -54 = 3(c + y) + -8c -54 = (c * 3 + y * 3) + -8c -54 = (3c + 3y) + -8c Reorder the terms: -54 = 3c + -8c + 3y Combine like terms: 3c + -8c = -5c -54 = -5c + 3y Solving -54 = -5c + 3y Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -54 + 5c = -5c + 5c + 3y Combine like terms: -5c + 5c = 0 -54 + 5c = 0 + 3y -54 + 5c = 3y Add '54' to each side of the equation. -54 + 54 + 5c = 54 + 3y Combine like terms: -54 + 54 = 0 0 + 5c = 54 + 3y 5c = 54 + 3y Divide each side by '5'. c = 10.8 + 0.6y Simplifying c = 10.8 + 0.6y
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