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Simplifying -2(3y + 5) + 2 = 12y + 2(4 + -9y) Reorder the terms: -2(5 + 3y) + 2 = 12y + 2(4 + -9y) (5 * -2 + 3y * -2) + 2 = 12y + 2(4 + -9y) (-10 + -6y) + 2 = 12y + 2(4 + -9y) Reorder the terms: -10 + 2 + -6y = 12y + 2(4 + -9y) Combine like terms: -10 + 2 = -8 -8 + -6y = 12y + 2(4 + -9y) -8 + -6y = 12y + (4 * 2 + -9y * 2) -8 + -6y = 12y + (8 + -18y) Reorder the terms: -8 + -6y = 8 + 12y + -18y Combine like terms: 12y + -18y = -6y -8 + -6y = 8 + -6y Add '6y' to each side of the equation. -8 + -6y + 6y = 8 + -6y + 6y Combine like terms: -6y + 6y = 0 -8 + 0 = 8 + -6y + 6y -8 = 8 + -6y + 6y Combine like terms: -6y + 6y = 0 -8 = 8 + 0 -8 = 8 Solving -8 = 8 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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