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Simplifying 3 + -1(4y + -7) = (2y + 3) + -1(6y + 6) Reorder the terms: 3 + -1(-7 + 4y) = (2y + 3) + -1(6y + 6) 3 + (-7 * -1 + 4y * -1) = (2y + 3) + -1(6y + 6) 3 + (7 + -4y) = (2y + 3) + -1(6y + 6) Combine like terms: 3 + 7 = 10 10 + -4y = (2y + 3) + -1(6y + 6) Reorder the terms: 10 + -4y = (3 + 2y) + -1(6y + 6) Remove parenthesis around (3 + 2y) 10 + -4y = 3 + 2y + -1(6y + 6) Reorder the terms: 10 + -4y = 3 + 2y + -1(6 + 6y) 10 + -4y = 3 + 2y + (6 * -1 + 6y * -1) 10 + -4y = 3 + 2y + (-6 + -6y) Reorder the terms: 10 + -4y = 3 + -6 + 2y + -6y Combine like terms: 3 + -6 = -3 10 + -4y = -3 + 2y + -6y Combine like terms: 2y + -6y = -4y 10 + -4y = -3 + -4y Add '4y' to each side of the equation. 10 + -4y + 4y = -3 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + 0 = -3 + -4y + 4y 10 = -3 + -4y + 4y Combine like terms: -4y + 4y = 0 10 = -3 + 0 10 = -3 Solving 10 = -3 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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