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Simplifying 8(4y + -4) = -5y + -32 Reorder the terms: 8(-4 + 4y) = -5y + -32 (-4 * 8 + 4y * 8) = -5y + -32 (-32 + 32y) = -5y + -32 Reorder the terms: -32 + 32y = -32 + -5y Add '32' to each side of the equation. -32 + 32 + 32y = -32 + 32 + -5y Combine like terms: -32 + 32 = 0 0 + 32y = -32 + 32 + -5y 32y = -32 + 32 + -5y Combine like terms: -32 + 32 = 0 32y = 0 + -5y 32y = -5y Solving 32y = -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 32y + 5y = -5y + 5y Combine like terms: 32y + 5y = 37y 37y = -5y + 5y Combine like terms: -5y + 5y = 0 37y = 0 Divide each side by '37'. y = 0 Simplifying y = 0
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