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Simplifying -4(-5y + -8) = 3y + 32 Reorder the terms: -4(-8 + -5y) = 3y + 32 (-8 * -4 + -5y * -4) = 3y + 32 (32 + 20y) = 3y + 32 Reorder the terms: 32 + 20y = 32 + 3y Add '-32' to each side of the equation. 32 + -32 + 20y = 32 + -32 + 3y Combine like terms: 32 + -32 = 0 0 + 20y = 32 + -32 + 3y 20y = 32 + -32 + 3y Combine like terms: 32 + -32 = 0 20y = 0 + 3y 20y = 3y Solving 20y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 20y + -3y = 3y + -3y Combine like terms: 20y + -3y = 17y 17y = 3y + -3y Combine like terms: 3y + -3y = 0 17y = 0 Divide each side by '17'. y = 0 Simplifying y = 0
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