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Simplifying 7y + -5(1 + -3y) = 2y + 5(4y + 3) 7y + (1 * -5 + -3y * -5) = 2y + 5(4y + 3) 7y + (-5 + 15y) = 2y + 5(4y + 3) Reorder the terms: -5 + 7y + 15y = 2y + 5(4y + 3) Combine like terms: 7y + 15y = 22y -5 + 22y = 2y + 5(4y + 3) Reorder the terms: -5 + 22y = 2y + 5(3 + 4y) -5 + 22y = 2y + (3 * 5 + 4y * 5) -5 + 22y = 2y + (15 + 20y) Reorder the terms: -5 + 22y = 15 + 2y + 20y Combine like terms: 2y + 20y = 22y -5 + 22y = 15 + 22y Add '-22y' to each side of the equation. -5 + 22y + -22y = 15 + 22y + -22y Combine like terms: 22y + -22y = 0 -5 + 0 = 15 + 22y + -22y -5 = 15 + 22y + -22y Combine like terms: 22y + -22y = 0 -5 = 15 + 0 -5 = 15 Solving -5 = 15 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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