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Simplifying 4(-8 + y) + -5 = 7(y + -4) + -3y (-8 * 4 + y * 4) + -5 = 7(y + -4) + -3y (-32 + 4y) + -5 = 7(y + -4) + -3y Reorder the terms: -32 + -5 + 4y = 7(y + -4) + -3y Combine like terms: -32 + -5 = -37 -37 + 4y = 7(y + -4) + -3y Reorder the terms: -37 + 4y = 7(-4 + y) + -3y -37 + 4y = (-4 * 7 + y * 7) + -3y -37 + 4y = (-28 + 7y) + -3y Combine like terms: 7y + -3y = 4y -37 + 4y = -28 + 4y Add '-4y' to each side of the equation. -37 + 4y + -4y = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 -37 + 0 = -28 + 4y + -4y -37 = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 -37 = -28 + 0 -37 = -28 Solving -37 = -28 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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