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Simplifying 4(2y + -4) = 4y + -32 Reorder the terms: 4(-4 + 2y) = 4y + -32 (-4 * 4 + 2y * 4) = 4y + -32 (-16 + 8y) = 4y + -32 Reorder the terms: -16 + 8y = -32 + 4y Solving -16 + 8y = -32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -16 + 8y + -4y = -32 + 4y + -4y Combine like terms: 8y + -4y = 4y -16 + 4y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 4y = -32 + 0 -16 + 4y = -32 Add '16' to each side of the equation. -16 + 16 + 4y = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = -32 + 16 4y = -32 + 16 Combine like terms: -32 + 16 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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