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Simplifying 6(y + -5) + -1y = 5(y + 6) Reorder the terms: 6(-5 + y) + -1y = 5(y + 6) (-5 * 6 + y * 6) + -1y = 5(y + 6) (-30 + 6y) + -1y = 5(y + 6) Combine like terms: 6y + -1y = 5y -30 + 5y = 5(y + 6) Reorder the terms: -30 + 5y = 5(6 + y) -30 + 5y = (6 * 5 + y * 5) -30 + 5y = (30 + 5y) Add '-5y' to each side of the equation. -30 + 5y + -5y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 0 = 30 + 5y + -5y -30 = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 = 30 + 0 -30 = 30 Solving -30 = 30 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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