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Simplifying ((5 + y) + -2) * 5y + 1 = ((y + 5) + -2) * 5y + 1 Remove parenthesis around (5 + y) (5 + y + -2) * 5y + 1 = ((y + 5) + -2) * 5y + 1 Reorder the terms: (5 + -2 + y) * 5y + 1 = ((y + 5) + -2) * 5y + 1 Combine like terms: 5 + -2 = 3 (3 + y) * 5y + 1 = ((y + 5) + -2) * 5y + 1 Reorder the terms for easier multiplication: 5y(3 + y) + 1 = ((y + 5) + -2) * 5y + 1 (3 * 5y + y * 5y) + 1 = ((y + 5) + -2) * 5y + 1 (15y + 5y2) + 1 = ((y + 5) + -2) * 5y + 1 Reorder the terms: 1 + 15y + 5y2 = ((y + 5) + -2) * 5y + 1 Reorder the terms: 1 + 15y + 5y2 = ((5 + y) + -2) * 5y + 1 Remove parenthesis around (5 + y) 1 + 15y + 5y2 = (5 + y + -2) * 5y + 1 Reorder the terms: 1 + 15y + 5y2 = (5 + -2 + y) * 5y + 1 Combine like terms: 5 + -2 = 3 1 + 15y + 5y2 = (3 + y) * 5y + 1 Reorder the terms for easier multiplication: 1 + 15y + 5y2 = 5y(3 + y) + 1 1 + 15y + 5y2 = (3 * 5y + y * 5y) + 1 1 + 15y + 5y2 = (15y + 5y2) + 1 Reorder the terms: 1 + 15y + 5y2 = 1 + 15y + 5y2 Add '-1' to each side of the equation. 1 + 15y + -1 + 5y2 = 1 + 15y + -1 + 5y2 Reorder the terms: 1 + -1 + 15y + 5y2 = 1 + 15y + -1 + 5y2 Combine like terms: 1 + -1 = 0 0 + 15y + 5y2 = 1 + 15y + -1 + 5y2 15y + 5y2 = 1 + 15y + -1 + 5y2 Reorder the terms: 15y + 5y2 = 1 + -1 + 15y + 5y2 Combine like terms: 1 + -1 = 0 15y + 5y2 = 0 + 15y + 5y2 15y + 5y2 = 15y + 5y2 Add '-15y' to each side of the equation. 15y + -15y + 5y2 = 15y + -15y + 5y2 Combine like terms: 15y + -15y = 0 0 + 5y2 = 15y + -15y + 5y2 5y2 = 15y + -15y + 5y2 Combine like terms: 15y + -15y = 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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