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Simplifying 5y + 9 = 8y + -12 Reorder the terms: 9 + 5y = 8y + -12 Reorder the terms: 9 + 5y = -12 + 8y Solving 9 + 5y = -12 + 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 + 5y + -8y = -12 + 8y + -8y Combine like terms: 5y + -8y = -3y 9 + -3y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + -3y = -12 + 0 9 + -3y = -12 Add '-9' to each side of the equation. 9 + -9 + -3y = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3y = -12 + -9 -3y = -12 + -9 Combine like terms: -12 + -9 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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