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Simplifying 8y + -5(c + 2) = 7 Reorder the terms: 8y + -5(2 + c) = 7 8y + (2 * -5 + c * -5) = 7 8y + (-10 + -5c) = 7 Reorder the terms: -10 + -5c + 8y = 7 Solving -10 + -5c + 8y = 7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5c + 10 + 8y = 7 + 10 Reorder the terms: -10 + 10 + -5c + 8y = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -5c + 8y = 7 + 10 -5c + 8y = 7 + 10 Combine like terms: 7 + 10 = 17 -5c + 8y = 17 Add '-8y' to each side of the equation. -5c + 8y + -8y = 17 + -8y Combine like terms: 8y + -8y = 0 -5c + 0 = 17 + -8y -5c = 17 + -8y Divide each side by '-5'. c = -3.4 + 1.6y Simplifying c = -3.4 + 1.6y
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