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Simplifying -2(8y + -9) = -32 + -5y Reorder the terms: -2(-9 + 8y) = -32 + -5y (-9 * -2 + 8y * -2) = -32 + -5y (18 + -16y) = -32 + -5y Solving 18 + -16y = -32 + -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. 18 + -16y + 5y = -32 + -5y + 5y Combine like terms: -16y + 5y = -11y 18 + -11y = -32 + -5y + 5y Combine like terms: -5y + 5y = 0 18 + -11y = -32 + 0 18 + -11y = -32 Add '-18' to each side of the equation. 18 + -18 + -11y = -32 + -18 Combine like terms: 18 + -18 = 0 0 + -11y = -32 + -18 -11y = -32 + -18 Combine like terms: -32 + -18 = -50 -11y = -50 Divide each side by '-11'. y = 4.545454545 Simplifying y = 4.545454545
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