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Simplifying 6[5y + -1(3y + -1)] = 4(3y + -7) Reorder the terms: 6[5y + -1(-1 + 3y)] = 4(3y + -7) 6[5y + (-1 * -1 + 3y * -1)] = 4(3y + -7) 6[5y + (1 + -3y)] = 4(3y + -7) Reorder the terms: 6[1 + 5y + -3y] = 4(3y + -7) Combine like terms: 5y + -3y = 2y 6[1 + 2y] = 4(3y + -7) [1 * 6 + 2y * 6] = 4(3y + -7) [6 + 12y] = 4(3y + -7) Reorder the terms: 6 + 12y = 4(-7 + 3y) 6 + 12y = (-7 * 4 + 3y * 4) 6 + 12y = (-28 + 12y) Add '-12y' to each side of the equation. 6 + 12y + -12y = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 6 + 0 = -28 + 12y + -12y 6 = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 6 = -28 + 0 6 = -28 Solving 6 = -28 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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