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Simplifying -6y + 8(y + -4) = -12 Reorder the terms: -6y + 8(-4 + y) = -12 -6y + (-4 * 8 + y * 8) = -12 -6y + (-32 + 8y) = -12 Reorder the terms: -32 + -6y + 8y = -12 Combine like terms: -6y + 8y = 2y -32 + 2y = -12 Solving -32 + 2y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2y = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -12 + 32 2y = -12 + 32 Combine like terms: -12 + 32 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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