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Simplifying -5(y + 4) + 31 = 5(3 + -1y) Reorder the terms: -5(4 + y) + 31 = 5(3 + -1y) (4 * -5 + y * -5) + 31 = 5(3 + -1y) (-20 + -5y) + 31 = 5(3 + -1y) Reorder the terms: -20 + 31 + -5y = 5(3 + -1y) Combine like terms: -20 + 31 = 11 11 + -5y = 5(3 + -1y) 11 + -5y = (3 * 5 + -1y * 5) 11 + -5y = (15 + -5y) Add '5y' to each side of the equation. 11 + -5y + 5y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 11 + 0 = 15 + -5y + 5y 11 = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 11 = 15 + 0 11 = 15 Solving 11 = 15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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