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Simplifying -32 = 4(y + -5) + -8y Reorder the terms: -32 = 4(-5 + y) + -8y -32 = (-5 * 4 + y * 4) + -8y -32 = (-20 + 4y) + -8y Combine like terms: 4y + -8y = -4y -32 = -20 + -4y Solving -32 = -20 + -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. -32 + 4y = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 -32 + 4y = -20 + 0 -32 + 4y = -20 Add '32' to each side of the equation. -32 + 32 + 4y = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 4y = -20 + 32 4y = -20 + 32 Combine like terms: -20 + 32 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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