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Simplifying 2(y + 5) + -8(5y + -8) = -38y + 2 Reorder the terms: 2(5 + y) + -8(5y + -8) = -38y + 2 (5 * 2 + y * 2) + -8(5y + -8) = -38y + 2 (10 + 2y) + -8(5y + -8) = -38y + 2 Reorder the terms: 10 + 2y + -8(-8 + 5y) = -38y + 2 10 + 2y + (-8 * -8 + 5y * -8) = -38y + 2 10 + 2y + (64 + -40y) = -38y + 2 Reorder the terms: 10 + 64 + 2y + -40y = -38y + 2 Combine like terms: 10 + 64 = 74 74 + 2y + -40y = -38y + 2 Combine like terms: 2y + -40y = -38y 74 + -38y = -38y + 2 Reorder the terms: 74 + -38y = 2 + -38y Add '38y' to each side of the equation. 74 + -38y + 38y = 2 + -38y + 38y Combine like terms: -38y + 38y = 0 74 + 0 = 2 + -38y + 38y 74 = 2 + -38y + 38y Combine like terms: -38y + 38y = 0 74 = 2 + 0 74 = 2 Solving 74 = 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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