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Simplifying (5y2 + -12y + -4) + -1(13 + -25) = (5y2 + -12y + -4) + -1(13 + -25) Reorder the terms: (-4 + -12y + 5y2) + -1(13 + -25) = (5y2 + -12y + -4) + -1(13 + -25) Remove parenthesis around (-4 + -12y + 5y2) -4 + -12y + 5y2 + -1(13 + -25) = (5y2 + -12y + -4) + -1(13 + -25) Combine like terms: 13 + -25 = -12 -4 + -12y + 5y2 + -1(-12) = (5y2 + -12y + -4) + -1(13 + -25) Multiply -1 * -12 -4 + -12y + 5y2 + 12 = (5y2 + -12y + -4) + -1(13 + -25) Reorder the terms: -4 + 12 + -12y + 5y2 = (5y2 + -12y + -4) + -1(13 + -25) Combine like terms: -4 + 12 = 8 8 + -12y + 5y2 = (5y2 + -12y + -4) + -1(13 + -25) Reorder the terms: 8 + -12y + 5y2 = (-4 + -12y + 5y2) + -1(13 + -25) Remove parenthesis around (-4 + -12y + 5y2) 8 + -12y + 5y2 = -4 + -12y + 5y2 + -1(13 + -25) Combine like terms: 13 + -25 = -12 8 + -12y + 5y2 = -4 + -12y + 5y2 + -1(-12) Multiply -1 * -12 8 + -12y + 5y2 = -4 + -12y + 5y2 + 12 Reorder the terms: 8 + -12y + 5y2 = -4 + 12 + -12y + 5y2 Combine like terms: -4 + 12 = 8 8 + -12y + 5y2 = 8 + -12y + 5y2 Add '-8' to each side of the equation. 8 + -12y + -8 + 5y2 = 8 + -12y + -8 + 5y2 Reorder the terms: 8 + -8 + -12y + 5y2 = 8 + -12y + -8 + 5y2 Combine like terms: 8 + -8 = 0 0 + -12y + 5y2 = 8 + -12y + -8 + 5y2 -12y + 5y2 = 8 + -12y + -8 + 5y2 Reorder the terms: -12y + 5y2 = 8 + -8 + -12y + 5y2 Combine like terms: 8 + -8 = 0 -12y + 5y2 = 0 + -12y + 5y2 -12y + 5y2 = -12y + 5y2 Add '12y' to each side of the equation. -12y + 12y + 5y2 = -12y + 12y + 5y2 Combine like terms: -12y + 12y = 0 0 + 5y2 = -12y + 12y + 5y2 5y2 = -12y + 12y + 5y2 Combine like terms: -12y + 12y = 0 5y2 = 0 + 5y2 5y2 = 5y2 Add '-5y2' to each side of the equation. 5y2 + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 0 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 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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