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Simplifying 5y + -12 + 2y = 3y + 24 + -8y Reorder the terms: -12 + 5y + 2y = 3y + 24 + -8y Combine like terms: 5y + 2y = 7y -12 + 7y = 3y + 24 + -8y Reorder the terms: -12 + 7y = 24 + 3y + -8y Combine like terms: 3y + -8y = -5y -12 + 7y = 24 + -5y Solving -12 + 7y = 24 + -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. -12 + 7y + 5y = 24 + -5y + 5y Combine like terms: 7y + 5y = 12y -12 + 12y = 24 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 12y = 24 + 0 -12 + 12y = 24 Add '12' to each side of the equation. -12 + 12 + 12y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12y = 24 + 12 12y = 24 + 12 Combine like terms: 24 + 12 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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