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Simplifying -32 = -2(4y + 4) Reorder the terms: -32 = -2(4 + 4y) -32 = (4 * -2 + 4y * -2) -32 = (-8 + -8y) Solving -32 = -8 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -32 + 8y = -8 + -8y + 8y Combine like terms: -8y + 8y = 0 -32 + 8y = -8 + 0 -32 + 8y = -8 Add '32' to each side of the equation. -32 + 32 + 8y = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 8y = -8 + 32 8y = -8 + 32 Combine like terms: -8 + 32 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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