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Simplifying 47 + 3y + -21 = 12y + -9 + -4y Reorder the terms: 47 + -21 + 3y = 12y + -9 + -4y Combine like terms: 47 + -21 = 26 26 + 3y = 12y + -9 + -4y Reorder the terms: 26 + 3y = -9 + 12y + -4y Combine like terms: 12y + -4y = 8y 26 + 3y = -9 + 8y Solving 26 + 3y = -9 + 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. 26 + 3y + -8y = -9 + 8y + -8y Combine like terms: 3y + -8y = -5y 26 + -5y = -9 + 8y + -8y Combine like terms: 8y + -8y = 0 26 + -5y = -9 + 0 26 + -5y = -9 Add '-26' to each side of the equation. 26 + -26 + -5y = -9 + -26 Combine like terms: 26 + -26 = 0 0 + -5y = -9 + -26 -5y = -9 + -26 Combine like terms: -9 + -26 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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