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Simplifying 15 + 3y + -1 = 12y + -10 + -3y Reorder the terms: 15 + -1 + 3y = 12y + -10 + -3y Combine like terms: 15 + -1 = 14 14 + 3y = 12y + -10 + -3y Reorder the terms: 14 + 3y = -10 + 12y + -3y Combine like terms: 12y + -3y = 9y 14 + 3y = -10 + 9y Solving 14 + 3y = -10 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 14 + 3y + -9y = -10 + 9y + -9y Combine like terms: 3y + -9y = -6y 14 + -6y = -10 + 9y + -9y Combine like terms: 9y + -9y = 0 14 + -6y = -10 + 0 14 + -6y = -10 Add '-14' to each side of the equation. 14 + -14 + -6y = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -6y = -10 + -14 -6y = -10 + -14 Combine like terms: -10 + -14 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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