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Simplifying 3(y + -4) + -1(6y + 2) = 5 + -3y Reorder the terms: 3(-4 + y) + -1(6y + 2) = 5 + -3y (-4 * 3 + y * 3) + -1(6y + 2) = 5 + -3y (-12 + 3y) + -1(6y + 2) = 5 + -3y Reorder the terms: -12 + 3y + -1(2 + 6y) = 5 + -3y -12 + 3y + (2 * -1 + 6y * -1) = 5 + -3y -12 + 3y + (-2 + -6y) = 5 + -3y Reorder the terms: -12 + -2 + 3y + -6y = 5 + -3y Combine like terms: -12 + -2 = -14 -14 + 3y + -6y = 5 + -3y Combine like terms: 3y + -6y = -3y -14 + -3y = 5 + -3y Add '3y' to each side of the equation. -14 + -3y + 3y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + 0 = 5 + -3y + 3y -14 = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 = 5 + 0 -14 = 5 Solving -14 = 5 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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