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Simplifying y + -4(8 + -1y) = (-2) y + (8 * -4 + -1y * -4) = (-2) y + (-32 + 4y) = (-2) Reorder the terms: -32 + y + 4y = (-2) Combine like terms: y + 4y = 5y -32 + 5y = (-2) -32 + 5y = -2 Solving -32 + 5y = -2 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 + 5y = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 5y = -2 + 32 5y = -2 + 32 Combine like terms: -2 + 32 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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