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Simplifying 5(2 + -1y) = 3 + -2y + 7 + -3y (2 * 5 + -1y * 5) = 3 + -2y + 7 + -3y (10 + -5y) = 3 + -2y + 7 + -3y Reorder the terms: 10 + -5y = 3 + 7 + -2y + -3y Combine like terms: 3 + 7 = 10 10 + -5y = 10 + -2y + -3y Combine like terms: -2y + -3y = -5y 10 + -5y = 10 + -5y Add '-10' to each side of the equation. 10 + -10 + -5y = 10 + -10 + -5y Combine like terms: 10 + -10 = 0 0 + -5y = 10 + -10 + -5y -5y = 10 + -10 + -5y Combine like terms: 10 + -10 = 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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