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Simplifying 15 + -2y + 6 = 12y + 30 + -5y Reorder the terms: 15 + 6 + -2y = 12y + 30 + -5y Combine like terms: 15 + 6 = 21 21 + -2y = 12y + 30 + -5y Reorder the terms: 21 + -2y = 30 + 12y + -5y Combine like terms: 12y + -5y = 7y 21 + -2y = 30 + 7y Solving 21 + -2y = 30 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 21 + -2y + -7y = 30 + 7y + -7y Combine like terms: -2y + -7y = -9y 21 + -9y = 30 + 7y + -7y Combine like terms: 7y + -7y = 0 21 + -9y = 30 + 0 21 + -9y = 30 Add '-21' to each side of the equation. 21 + -21 + -9y = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -9y = 30 + -21 -9y = 30 + -21 Combine like terms: 30 + -21 = 9 -9y = 9 Divide each side by '-9'. y = -1 Simplifying y = -1
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