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Simplifying -4y + 8(y + -7) = -32 Reorder the terms: -4y + 8(-7 + y) = -32 -4y + (-7 * 8 + y * 8) = -32 -4y + (-56 + 8y) = -32 Reorder the terms: -56 + -4y + 8y = -32 Combine like terms: -4y + 8y = 4y -56 + 4y = -32 Solving -56 + 4y = -32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 4y = -32 + 56 Combine like terms: -56 + 56 = 0 0 + 4y = -32 + 56 4y = -32 + 56 Combine like terms: -32 + 56 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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