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Simplifying 5y + -1(7 + -1(2y + -1)) = 3(y + -5) + 4(y + 3) Reorder the terms: 5y + -1(7 + -1(-1 + 2y)) = 3(y + -5) + 4(y + 3) 5y + -1(7 + (-1 * -1 + 2y * -1)) = 3(y + -5) + 4(y + 3) 5y + -1(7 + (1 + -2y)) = 3(y + -5) + 4(y + 3) Combine like terms: 7 + 1 = 8 5y + -1(8 + -2y) = 3(y + -5) + 4(y + 3) 5y + (8 * -1 + -2y * -1) = 3(y + -5) + 4(y + 3) 5y + (-8 + 2y) = 3(y + -5) + 4(y + 3) Reorder the terms: -8 + 5y + 2y = 3(y + -5) + 4(y + 3) Combine like terms: 5y + 2y = 7y -8 + 7y = 3(y + -5) + 4(y + 3) Reorder the terms: -8 + 7y = 3(-5 + y) + 4(y + 3) -8 + 7y = (-5 * 3 + y * 3) + 4(y + 3) -8 + 7y = (-15 + 3y) + 4(y + 3) Reorder the terms: -8 + 7y = -15 + 3y + 4(3 + y) -8 + 7y = -15 + 3y + (3 * 4 + y * 4) -8 + 7y = -15 + 3y + (12 + 4y) Reorder the terms: -8 + 7y = -15 + 12 + 3y + 4y Combine like terms: -15 + 12 = -3 -8 + 7y = -3 + 3y + 4y Combine like terms: 3y + 4y = 7y -8 + 7y = -3 + 7y Add '-7y' to each side of the equation. -8 + 7y + -7y = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + 0 = -3 + 7y + -7y -8 = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 = -3 + 0 -8 = -3 Solving -8 = -3 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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