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Simplifying 4y + 2(y + -2) = 7y + -1(y + -10) Reorder the terms: 4y + 2(-2 + y) = 7y + -1(y + -10) 4y + (-2 * 2 + y * 2) = 7y + -1(y + -10) 4y + (-4 + 2y) = 7y + -1(y + -10) Reorder the terms: -4 + 4y + 2y = 7y + -1(y + -10) Combine like terms: 4y + 2y = 6y -4 + 6y = 7y + -1(y + -10) Reorder the terms: -4 + 6y = 7y + -1(-10 + y) -4 + 6y = 7y + (-10 * -1 + y * -1) -4 + 6y = 7y + (10 + -1y) Reorder the terms: -4 + 6y = 10 + 7y + -1y Combine like terms: 7y + -1y = 6y -4 + 6y = 10 + 6y Add '-6y' to each side of the equation. -4 + 6y + -6y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 0 = 10 + 6y + -6y -4 = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 = 10 + 0 -4 = 10 Solving -4 = 10 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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