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Simplifying 3y + -1(5y + 4) = 12y + -7(2y + -1) Reorder the terms: 3y + -1(4 + 5y) = 12y + -7(2y + -1) 3y + (4 * -1 + 5y * -1) = 12y + -7(2y + -1) 3y + (-4 + -5y) = 12y + -7(2y + -1) Reorder the terms: -4 + 3y + -5y = 12y + -7(2y + -1) Combine like terms: 3y + -5y = -2y -4 + -2y = 12y + -7(2y + -1) Reorder the terms: -4 + -2y = 12y + -7(-1 + 2y) -4 + -2y = 12y + (-1 * -7 + 2y * -7) -4 + -2y = 12y + (7 + -14y) Reorder the terms: -4 + -2y = 7 + 12y + -14y Combine like terms: 12y + -14y = -2y -4 + -2y = 7 + -2y Add '2y' to each side of the equation. -4 + -2y + 2y = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 0 = 7 + -2y + 2y -4 = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 = 7 + 0 -4 = 7 Solving -4 = 7 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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