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Simplifying 2 + -4[5 + -1(5y + -4)] = 2 + -4[5 + -1(5y + 4)] Reorder the terms: 2 + -4[5 + -1(-4 + 5y)] = 2 + -4[5 + -1(5y + 4)] 2 + -4[5 + (-4 * -1 + 5y * -1)] = 2 + -4[5 + -1(5y + 4)] 2 + -4[5 + (4 + -5y)] = 2 + -4[5 + -1(5y + 4)] Combine like terms: 5 + 4 = 9 2 + -4[9 + -5y] = 2 + -4[5 + -1(5y + 4)] 2 + [9 * -4 + -5y * -4] = 2 + -4[5 + -1(5y + 4)] 2 + [-36 + 20y] = 2 + -4[5 + -1(5y + 4)] Combine like terms: 2 + -36 = -34 -34 + 20y = 2 + -4[5 + -1(5y + 4)] Reorder the terms: -34 + 20y = 2 + -4[5 + -1(4 + 5y)] -34 + 20y = 2 + -4[5 + (4 * -1 + 5y * -1)] -34 + 20y = 2 + -4[5 + (-4 + -5y)] Combine like terms: 5 + -4 = 1 -34 + 20y = 2 + -4[1 + -5y] -34 + 20y = 2 + [1 * -4 + -5y * -4] -34 + 20y = 2 + [-4 + 20y] Combine like terms: 2 + -4 = -2 -34 + 20y = -2 + 20y Add '-20y' to each side of the equation. -34 + 20y + -20y = -2 + 20y + -20y Combine like terms: 20y + -20y = 0 -34 + 0 = -2 + 20y + -20y -34 = -2 + 20y + -20y Combine like terms: 20y + -20y = 0 -34 = -2 + 0 -34 = -2 Solving -34 = -2 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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