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Simplifying 8(y + -1) = 4y + -32 Reorder the terms: 8(-1 + y) = 4y + -32 (-1 * 8 + y * 8) = 4y + -32 (-8 + 8y) = 4y + -32 Reorder the terms: -8 + 8y = -32 + 4y Solving -8 + 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. -8 + 8y + -4y = -32 + 4y + -4y Combine like terms: 8y + -4y = 4y -8 + 4y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 4y = -32 + 0 -8 + 4y = -32 Add '8' to each side of the equation. -8 + 8 + 4y = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -32 + 8 4y = -32 + 8 Combine like terms: -32 + 8 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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