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Simplifying -5(-4u + -1y + 2) = (-5)(-4u) + -1(-5)(y) + (-5)(2) Reorder the terms: -5(2 + -4u + -1y) = (-5)(-4u) + -1(-5)(y) + (-5)(2) (2 * -5 + -4u * -5 + -1y * -5) = (-5)(-4u) + -1(-5)(y) + (-5)(2) (-10 + 20u + 5y) = (-5)(-4u) + -1(-5)(y) + (-5)(2) Remove parenthesis around (-4u) -10 + 20u + 5y = -5 * -4u + -1(-5)(y) + (-5)(2) Multiply -5 * -4 -10 + 20u + 5y = 20u + -1(-5)(y) + (-5)(2) Multiply -1 * -5 -10 + 20u + 5y = 20u + 5y + (-5)(2) Multiply -5 * 2 -10 + 20u + 5y = 20u + 5y + -10 Reorder the terms: -10 + 20u + 5y = -10 + 20u + 5y Add '10' to each side of the equation. -10 + 20u + 10 + 5y = -10 + 20u + 10 + 5y Reorder the terms: -10 + 10 + 20u + 5y = -10 + 20u + 10 + 5y Combine like terms: -10 + 10 = 0 0 + 20u + 5y = -10 + 20u + 10 + 5y 20u + 5y = -10 + 20u + 10 + 5y Reorder the terms: 20u + 5y = -10 + 10 + 20u + 5y Combine like terms: -10 + 10 = 0 20u + 5y = 0 + 20u + 5y 20u + 5y = 20u + 5y Add '-20u' to each side of the equation. 20u + -20u + 5y = 20u + -20u + 5y Combine like terms: 20u + -20u = 0 0 + 5y = 20u + -20u + 5y 5y = 20u + -20u + 5y Combine like terms: 20u + -20u = 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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