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Simplifying 8y + -1 + 3c = 3y + 7 + -1c Reorder the terms: -1 + 3c + 8y = 3y + 7 + -1c Reorder the terms: -1 + 3c + 8y = 7 + -1c + 3y Solving -1 + 3c + 8y = 7 + -1c + 3y Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -1 + 3c + c + 8y = 7 + -1c + c + 3y Combine like terms: 3c + c = 4c -1 + 4c + 8y = 7 + -1c + c + 3y Combine like terms: -1c + c = 0 -1 + 4c + 8y = 7 + 0 + 3y -1 + 4c + 8y = 7 + 3y Add '1' to each side of the equation. -1 + 4c + 1 + 8y = 7 + 1 + 3y Reorder the terms: -1 + 1 + 4c + 8y = 7 + 1 + 3y Combine like terms: -1 + 1 = 0 0 + 4c + 8y = 7 + 1 + 3y 4c + 8y = 7 + 1 + 3y Combine like terms: 7 + 1 = 8 4c + 8y = 8 + 3y Add '-8y' to each side of the equation. 4c + 8y + -8y = 8 + 3y + -8y Combine like terms: 8y + -8y = 0 4c + 0 = 8 + 3y + -8y 4c = 8 + 3y + -8y Combine like terms: 3y + -8y = -5y 4c = 8 + -5y Divide each side by '4'. c = 2 + -1.25y Simplifying c = 2 + -1.25y
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