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Simplifying 3y + 9 = 8(y + -2) Reorder the terms: 9 + 3y = 8(y + -2) Reorder the terms: 9 + 3y = 8(-2 + y) 9 + 3y = (-2 * 8 + y * 8) 9 + 3y = (-16 + 8y) Solving 9 + 3y = -16 + 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 = -16 + 8y + -8y Combine like terms: 3y + -8y = -5y 9 + -5y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + -5y = -16 + 0 9 + -5y = -16 Add '-9' to each side of the equation. 9 + -9 + -5y = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = -16 + -9 -5y = -16 + -9 Combine like terms: -16 + -9 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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