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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 = -7 -9y = -7 Divide each side by '-9'. y = 0.7777777778 Simplifying y = 0.7777777778
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