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Simplifying 3(y + 2) + -5(y + -1) = 8y + 11 + -10y Reorder the terms: 3(2 + y) + -5(y + -1) = 8y + 11 + -10y (2 * 3 + y * 3) + -5(y + -1) = 8y + 11 + -10y (6 + 3y) + -5(y + -1) = 8y + 11 + -10y Reorder the terms: 6 + 3y + -5(-1 + y) = 8y + 11 + -10y 6 + 3y + (-1 * -5 + y * -5) = 8y + 11 + -10y 6 + 3y + (5 + -5y) = 8y + 11 + -10y Reorder the terms: 6 + 5 + 3y + -5y = 8y + 11 + -10y Combine like terms: 6 + 5 = 11 11 + 3y + -5y = 8y + 11 + -10y Combine like terms: 3y + -5y = -2y 11 + -2y = 8y + 11 + -10y Reorder the terms: 11 + -2y = 11 + 8y + -10y Combine like terms: 8y + -10y = -2y 11 + -2y = 11 + -2y Add '-11' to each side of the equation. 11 + -11 + -2y = 11 + -11 + -2y Combine like terms: 11 + -11 = 0 0 + -2y = 11 + -11 + -2y -2y = 11 + -11 + -2y Combine like terms: 11 + -11 = 0 -2y = 0 + -2y -2y = -2y Add '2y' to each side of the equation. -2y + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 0 = -2y + 2y Combine like terms: -2y + 2y = 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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