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Simplifying -3(5y + 1) = 5(1 + -3y) + -8 Reorder the terms: -3(1 + 5y) = 5(1 + -3y) + -8 (1 * -3 + 5y * -3) = 5(1 + -3y) + -8 (-3 + -15y) = 5(1 + -3y) + -8 -3 + -15y = (1 * 5 + -3y * 5) + -8 -3 + -15y = (5 + -15y) + -8 Reorder the terms: -3 + -15y = 5 + -8 + -15y Combine like terms: 5 + -8 = -3 -3 + -15y = -3 + -15y Add '3' to each side of the equation. -3 + 3 + -15y = -3 + 3 + -15y Combine like terms: -3 + 3 = 0 0 + -15y = -3 + 3 + -15y -15y = -3 + 3 + -15y Combine like terms: -3 + 3 = 0 -15y = 0 + -15y -15y = -15y Add '15y' to each side of the equation. -15y + 15y = -15y + 15y Combine like terms: -15y + 15y = 0 0 = -15y + 15y Combine like terms: -15y + 15y = 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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