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Simplifying -3[2(y + -5) + -1y] = 2[3y + -5(-3 + y)] + y Reorder the terms: -3[2(-5 + y) + -1y] = 2[3y + -5(-3 + y)] + y -3[(-5 * 2 + y * 2) + -1y] = 2[3y + -5(-3 + y)] + y -3[(-10 + 2y) + -1y] = 2[3y + -5(-3 + y)] + y Combine like terms: 2y + -1y = 1y -3[-10 + 1y] = 2[3y + -5(-3 + y)] + y [-10 * -3 + 1y * -3] = 2[3y + -5(-3 + y)] + y [30 + -3y] = 2[3y + -5(-3 + y)] + y 30 + -3y = 2[3y + (-3 * -5 + y * -5)] + y 30 + -3y = 2[3y + (15 + -5y)] + y Reorder the terms: 30 + -3y = 2[15 + 3y + -5y] + y Combine like terms: 3y + -5y = -2y 30 + -3y = 2[15 + -2y] + y 30 + -3y = [15 * 2 + -2y * 2] + y 30 + -3y = [30 + -4y] + y Combine like terms: -4y + y = -3y 30 + -3y = 30 + -3y Add '-30' to each side of the equation. 30 + -30 + -3y = 30 + -30 + -3y Combine like terms: 30 + -30 = 0 0 + -3y = 30 + -30 + -3y -3y = 30 + -30 + -3y Combine like terms: 30 + -30 = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 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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