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Simplifying 4(y + 3) + -5y = 8 + -1(5 + -1y) + -2y Reorder the terms: 4(3 + y) + -5y = 8 + -1(5 + -1y) + -2y (3 * 4 + y * 4) + -5y = 8 + -1(5 + -1y) + -2y (12 + 4y) + -5y = 8 + -1(5 + -1y) + -2y Combine like terms: 4y + -5y = -1y 12 + -1y = 8 + -1(5 + -1y) + -2y 12 + -1y = 8 + (5 * -1 + -1y * -1) + -2y 12 + -1y = 8 + (-5 + 1y) + -2y Combine like terms: 8 + -5 = 3 12 + -1y = 3 + 1y + -2y Combine like terms: 1y + -2y = -1y 12 + -1y = 3 + -1y Add 'y' to each side of the equation. 12 + -1y + y = 3 + -1y + y Combine like terms: -1y + y = 0 12 + 0 = 3 + -1y + y 12 = 3 + -1y + y Combine like terms: -1y + y = 0 12 = 3 + 0 12 = 3 Solving 12 = 3 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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