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Simplifying 54 + -1(7y + -5) = 12 + (3y + -1) + -10y Reorder the terms: 54 + -1(-5 + 7y) = 12 + (3y + -1) + -10y 54 + (-5 * -1 + 7y * -1) = 12 + (3y + -1) + -10y 54 + (5 + -7y) = 12 + (3y + -1) + -10y Combine like terms: 54 + 5 = 59 59 + -7y = 12 + (3y + -1) + -10y Reorder the terms: 59 + -7y = 12 + (-1 + 3y) + -10y Remove parenthesis around (-1 + 3y) 59 + -7y = 12 + -1 + 3y + -10y Combine like terms: 12 + -1 = 11 59 + -7y = 11 + 3y + -10y Combine like terms: 3y + -10y = -7y 59 + -7y = 11 + -7y Add '7y' to each side of the equation. 59 + -7y + 7y = 11 + -7y + 7y Combine like terms: -7y + 7y = 0 59 + 0 = 11 + -7y + 7y 59 = 11 + -7y + 7y Combine like terms: -7y + 7y = 0 59 = 11 + 0 59 = 11 Solving 59 = 11 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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