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Simplifying -2y + 3(4 + -1y) = 7 + -5y + 5 -2y + (4 * 3 + -1y * 3) = 7 + -5y + 5 -2y + (12 + -3y) = 7 + -5y + 5 Reorder the terms: 12 + -2y + -3y = 7 + -5y + 5 Combine like terms: -2y + -3y = -5y 12 + -5y = 7 + -5y + 5 Reorder the terms: 12 + -5y = 7 + 5 + -5y Combine like terms: 7 + 5 = 12 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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