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Simplifying 4(y + 1) + y = 5(y + -1) + 9 Reorder the terms: 4(1 + y) + y = 5(y + -1) + 9 (1 * 4 + y * 4) + y = 5(y + -1) + 9 (4 + 4y) + y = 5(y + -1) + 9 Combine like terms: 4y + y = 5y 4 + 5y = 5(y + -1) + 9 Reorder the terms: 4 + 5y = 5(-1 + y) + 9 4 + 5y = (-1 * 5 + y * 5) + 9 4 + 5y = (-5 + 5y) + 9 Reorder the terms: 4 + 5y = -5 + 9 + 5y Combine like terms: -5 + 9 = 4 4 + 5y = 4 + 5y Add '-4' to each side of the equation. 4 + -4 + 5y = 4 + -4 + 5y Combine like terms: 4 + -4 = 0 0 + 5y = 4 + -4 + 5y 5y = 4 + -4 + 5y Combine like terms: 4 + -4 = 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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