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Simplifying 5(y + 7) + -8(4y + -7) = -27y + 6 Reorder the terms: 5(7 + y) + -8(4y + -7) = -27y + 6 (7 * 5 + y * 5) + -8(4y + -7) = -27y + 6 (35 + 5y) + -8(4y + -7) = -27y + 6 Reorder the terms: 35 + 5y + -8(-7 + 4y) = -27y + 6 35 + 5y + (-7 * -8 + 4y * -8) = -27y + 6 35 + 5y + (56 + -32y) = -27y + 6 Reorder the terms: 35 + 56 + 5y + -32y = -27y + 6 Combine like terms: 35 + 56 = 91 91 + 5y + -32y = -27y + 6 Combine like terms: 5y + -32y = -27y 91 + -27y = -27y + 6 Reorder the terms: 91 + -27y = 6 + -27y Add '27y' to each side of the equation. 91 + -27y + 27y = 6 + -27y + 27y Combine like terms: -27y + 27y = 0 91 + 0 = 6 + -27y + 27y 91 = 6 + -27y + 27y Combine like terms: -27y + 27y = 0 91 = 6 + 0 91 = 6 Solving 91 = 6 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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