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Simplifying 2(y + -4) = -4y + -32 Reorder the terms: 2(-4 + y) = -4y + -32 (-4 * 2 + y * 2) = -4y + -32 (-8 + 2y) = -4y + -32 Reorder the terms: -8 + 2y = -32 + -4y Solving -8 + 2y = -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 + 2y + 4y = -32 + -4y + 4y Combine like terms: 2y + 4y = 6y -8 + 6y = -32 + -4y + 4y Combine like terms: -4y + 4y = 0 -8 + 6y = -32 + 0 -8 + 6y = -32 Add '8' to each side of the equation. -8 + 8 + 6y = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = -32 + 8 6y = -32 + 8 Combine like terms: -32 + 8 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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