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