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Simplifying -3y + 9 = 8(y + 8) Reorder the terms: 9 + -3y = 8(y + 8) Reorder the terms: 9 + -3y = 8(8 + y) 9 + -3y = (8 * 8 + y * 8) 9 + -3y = (64 + 8y) Solving 9 + -3y = 64 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 9 + -3y + -8y = 64 + 8y + -8y Combine like terms: -3y + -8y = -11y 9 + -11y = 64 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + -11y = 64 + 0 9 + -11y = 64 Add '-9' to each side of the equation. 9 + -9 + -11y = 64 + -9 Combine like terms: 9 + -9 = 0 0 + -11y = 64 + -9 -11y = 64 + -9 Combine like terms: 64 + -9 = 55 -11y = 55 Divide each side by '-11'. y = -5 Simplifying y = -5
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