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Simplifying -4(y + 8) = 6 + -3y Reorder the terms: -4(8 + y) = 6 + -3y (8 * -4 + y * -4) = 6 + -3y (-32 + -4y) = 6 + -3y Solving -32 + -4y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -32 + -4y + 3y = 6 + -3y + 3y Combine like terms: -4y + 3y = -1y -32 + -1y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 -32 + -1y = 6 + 0 -32 + -1y = 6 Add '32' to each side of the equation. -32 + 32 + -1y = 6 + 32 Combine like terms: -32 + 32 = 0 0 + -1y = 6 + 32 -1y = 6 + 32 Combine like terms: 6 + 32 = 38 -1y = 38 Divide each side by '-1'. y = -38 Simplifying y = -38
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