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Simplifying -1y + -1[6(y + -1) + -2(3 + y)] = 3(4 + -1y) + -2y Reorder the terms: -1y + -1[6(-1 + y) + -2(3 + y)] = 3(4 + -1y) + -2y -1y + -1[(-1 * 6 + y * 6) + -2(3 + y)] = 3(4 + -1y) + -2y -1y + -1[(-6 + 6y) + -2(3 + y)] = 3(4 + -1y) + -2y -1y + -1[-6 + 6y + (3 * -2 + y * -2)] = 3(4 + -1y) + -2y -1y + -1[-6 + 6y + (-6 + -2y)] = 3(4 + -1y) + -2y Reorder the terms: -1y + -1[-6 + -6 + 6y + -2y] = 3(4 + -1y) + -2y Combine like terms: -6 + -6 = -12 -1y + -1[-12 + 6y + -2y] = 3(4 + -1y) + -2y Combine like terms: 6y + -2y = 4y -1y + -1[-12 + 4y] = 3(4 + -1y) + -2y -1y + [-12 * -1 + 4y * -1] = 3(4 + -1y) + -2y -1y + [12 + -4y] = 3(4 + -1y) + -2y Reorder the terms: 12 + -1y + -4y = 3(4 + -1y) + -2y Combine like terms: -1y + -4y = -5y 12 + -5y = 3(4 + -1y) + -2y 12 + -5y = (4 * 3 + -1y * 3) + -2y 12 + -5y = (12 + -3y) + -2y Combine like terms: -3y + -2y = -5y 12 + -5y = 12 + -5y Add '-12' to each side of the equation. 12 + -12 + -5y = 12 + -12 + -5y Combine like terms: 12 + -12 = 0 0 + -5y = 12 + -12 + -5y -5y = 12 + -12 + -5y Combine like terms: 12 + -12 = 0 -5y = 0 + -5y -5y = -5y Add '5y' to each side of the equation. -5y + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 0 = -5y + 5y Combine like terms: -5y + 5y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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