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Simplifying (-6y) + 17 = 3y + -10 Reorder the terms: 17 + (-6y) = 3y + -10 Reorder the terms: 17 + (-6y) = -10 + 3y Solving 17 + (-6y) = -10 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 17 + (-6y) + -3y = -10 + 3y + -3y Combine like terms: (-6y) + -3y = -9y 17 + -9y = -10 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + -9y = -10 + 0 17 + -9y = -10 Add '-17' to each side of the equation. 17 + -17 + -9y = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -9y = -10 + -17 -9y = -10 + -17 Combine like terms: -10 + -17 = -27 -9y = -27 Divide each side by '-9'. y = 3 Simplifying y = 3
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