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Simplifying 2y + (5y + -3) = 10y + -1(3y + 2) Reorder the terms: 2y + (-3 + 5y) = 10y + -1(3y + 2) Remove parenthesis around (-3 + 5y) 2y + -3 + 5y = 10y + -1(3y + 2) Reorder the terms: -3 + 2y + 5y = 10y + -1(3y + 2) Combine like terms: 2y + 5y = 7y -3 + 7y = 10y + -1(3y + 2) Reorder the terms: -3 + 7y = 10y + -1(2 + 3y) -3 + 7y = 10y + (2 * -1 + 3y * -1) -3 + 7y = 10y + (-2 + -3y) Reorder the terms: -3 + 7y = -2 + 10y + -3y Combine like terms: 10y + -3y = 7y -3 + 7y = -2 + 7y Add '-7y' to each side of the equation. -3 + 7y + -7y = -2 + 7y + -7y Combine like terms: 7y + -7y = 0 -3 + 0 = -2 + 7y + -7y -3 = -2 + 7y + -7y Combine like terms: 7y + -7y = 0 -3 = -2 + 0 -3 = -2 Solving -3 = -2 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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