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Simplifying 12y + -6(1 + y) = 3(2y + -2) + -48 12y + (1 * -6 + y * -6) = 3(2y + -2) + -48 12y + (-6 + -6y) = 3(2y + -2) + -48 Reorder the terms: -6 + 12y + -6y = 3(2y + -2) + -48 Combine like terms: 12y + -6y = 6y -6 + 6y = 3(2y + -2) + -48 Reorder the terms: -6 + 6y = 3(-2 + 2y) + -48 -6 + 6y = (-2 * 3 + 2y * 3) + -48 -6 + 6y = (-6 + 6y) + -48 Reorder the terms: -6 + 6y = -6 + -48 + 6y Combine like terms: -6 + -48 = -54 -6 + 6y = -54 + 6y Add '-6y' to each side of the equation. -6 + 6y + -6y = -54 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 0 = -54 + 6y + -6y -6 = -54 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 = -54 + 0 -6 = -54 Solving -6 = -54 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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