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Simplifying -3(4y + 1) = 4(5 + -3y) + -23 Reorder the terms: -3(1 + 4y) = 4(5 + -3y) + -23 (1 * -3 + 4y * -3) = 4(5 + -3y) + -23 (-3 + -12y) = 4(5 + -3y) + -23 -3 + -12y = (5 * 4 + -3y * 4) + -23 -3 + -12y = (20 + -12y) + -23 Reorder the terms: -3 + -12y = 20 + -23 + -12y Combine like terms: 20 + -23 = -3 -3 + -12y = -3 + -12y Add '3' to each side of the equation. -3 + 3 + -12y = -3 + 3 + -12y Combine like terms: -3 + 3 = 0 0 + -12y = -3 + 3 + -12y -12y = -3 + 3 + -12y Combine like terms: -3 + 3 = 0 -12y = 0 + -12y -12y = -12y Add '12y' to each side of the equation. -12y + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 0 = -12y + 12y Combine like terms: -12y + 12y = 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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