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Simplifying (5x + 50) * 20 + 1015 + -1y = 100x + (2015 + -1y) Reorder the terms: (50 + 5x) * 20 + 1015 + -1y = 100x + (2015 + -1y) Reorder the terms for easier multiplication: 20(50 + 5x) + 1015 + -1y = 100x + (2015 + -1y) (50 * 20 + 5x * 20) + 1015 + -1y = 100x + (2015 + -1y) (1000 + 100x) + 1015 + -1y = 100x + (2015 + -1y) Reorder the terms: 1000 + 1015 + 100x + -1y = 100x + (2015 + -1y) Combine like terms: 1000 + 1015 = 2015 2015 + 100x + -1y = 100x + (2015 + -1y) Remove parenthesis around (2015 + -1y) 2015 + 100x + -1y = 100x + 2015 + -1y Reorder the terms: 2015 + 100x + -1y = 2015 + 100x + -1y Add '-2015' to each side of the equation. 2015 + 100x + -2015 + -1y = 2015 + 100x + -2015 + -1y Reorder the terms: 2015 + -2015 + 100x + -1y = 2015 + 100x + -2015 + -1y Combine like terms: 2015 + -2015 = 0 0 + 100x + -1y = 2015 + 100x + -2015 + -1y 100x + -1y = 2015 + 100x + -2015 + -1y Reorder the terms: 100x + -1y = 2015 + -2015 + 100x + -1y Combine like terms: 2015 + -2015 = 0 100x + -1y = 0 + 100x + -1y 100x + -1y = 100x + -1y Add '-100x' to each side of the equation. 100x + -100x + -1y = 100x + -100x + -1y Combine like terms: 100x + -100x = 0 0 + -1y = 100x + -100x + -1y -1y = 100x + -100x + -1y Combine like terms: 100x + -100x = 0 -1y = 0 + -1y -1y = -1y Add 'y' to each side of the equation. -1y + y = -1y + y Combine like terms: -1y + y = 0 0 = -1y + y Combine like terms: -1y + y = 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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