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Simplifying 35 + 3y + -15 = 12y + -10 + -3y Reorder the terms: 35 + -15 + 3y = 12y + -10 + -3y Combine like terms: 35 + -15 = 20 20 + 3y = 12y + -10 + -3y Reorder the terms: 20 + 3y = -10 + 12y + -3y Combine like terms: 12y + -3y = 9y 20 + 3y = -10 + 9y Solving 20 + 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. 20 + 3y + -9y = -10 + 9y + -9y Combine like terms: 3y + -9y = -6y 20 + -6y = -10 + 9y + -9y Combine like terms: 9y + -9y = 0 20 + -6y = -10 + 0 20 + -6y = -10 Add '-20' to each side of the equation. 20 + -20 + -6y = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -6y = -10 + -20 -6y = -10 + -20 Combine like terms: -10 + -20 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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