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Simplifying 5y + -1c + 5 = (3y + -5)(2y + -1) Reorder the terms: 5 + -1c + 5y = (3y + -5)(2y + -1) Reorder the terms: 5 + -1c + 5y = (-5 + 3y)(2y + -1) Reorder the terms: 5 + -1c + 5y = (-5 + 3y)(-1 + 2y) Multiply (-5 + 3y) * (-1 + 2y) 5 + -1c + 5y = (-5(-1 + 2y) + 3y * (-1 + 2y)) 5 + -1c + 5y = ((-1 * -5 + 2y * -5) + 3y * (-1 + 2y)) 5 + -1c + 5y = ((5 + -10y) + 3y * (-1 + 2y)) 5 + -1c + 5y = (5 + -10y + (-1 * 3y + 2y * 3y)) 5 + -1c + 5y = (5 + -10y + (-3y + 6y2)) Combine like terms: -10y + -3y = -13y 5 + -1c + 5y = (5 + -13y + 6y2) Add '-5' to each side of the equation. 5 + -1c + -5 + 5y = 5 + -13y + -5 + 6y2 Reorder the terms: 5 + -5 + -1c + 5y = 5 + -13y + -5 + 6y2 Combine like terms: 5 + -5 = 0 0 + -1c + 5y = 5 + -13y + -5 + 6y2 -1c + 5y = 5 + -13y + -5 + 6y2 Reorder the terms: -1c + 5y = 5 + -5 + -13y + 6y2 Combine like terms: 5 + -5 = 0 -1c + 5y = 0 + -13y + 6y2 -1c + 5y = -13y + 6y2 Solving -1c + 5y = -13y + 6y2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5y' to each side of the equation. -1c + 5y + -5y = -13y + -5y + 6y2 Combine like terms: 5y + -5y = 0 -1c + 0 = -13y + -5y + 6y2 -1c = -13y + -5y + 6y2 Combine like terms: -13y + -5y = -18y -1c = -18y + 6y2 Divide each side by '-1'. c = 18y + -6y2 Simplifying c = 18y + -6y2
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