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Simplifying ((x + -8)(-4)) + 4x = y Reorder the terms: ((-8 + x)(-4)) + 4x = y Reorder the terms for easier multiplication: (-4(-8 + x)) + 4x = y ((-8 * -4 + x * -4)) + 4x = y ((32 + -4x)) + 4x = y (32 + -4x) + 4x = y Remove parenthesis around (32 + -4x) 32 + -4x + 4x = y Combine like terms: -4x + 4x = 0 32 + 0 = y 32 = y Solving 32 = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 32 + -1y = y + -1y Combine like terms: y + -1y = 0 32 + -1y = 0 Add '-32' to each side of the equation. 32 + -32 + -1y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1y = 0 + -32 -1y = 0 + -32 Combine like terms: 0 + -32 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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