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Simplifying 10 + -3y + -7 = 8 + -1(3y + 5) Reorder the terms: 10 + -7 + -3y = 8 + -1(3y + 5) Combine like terms: 10 + -7 = 3 3 + -3y = 8 + -1(3y + 5) Reorder the terms: 3 + -3y = 8 + -1(5 + 3y) 3 + -3y = 8 + (5 * -1 + 3y * -1) 3 + -3y = 8 + (-5 + -3y) Combine like terms: 8 + -5 = 3 3 + -3y = 3 + -3y Add '-3' to each side of the equation. 3 + -3 + -3y = 3 + -3 + -3y Combine like terms: 3 + -3 = 0 0 + -3y = 3 + -3 + -3y -3y = 3 + -3 + -3y Combine like terms: 3 + -3 = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 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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