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Simplifying -6y + 1 = -9y + 10 Reorder the terms: 1 + -6y = -9y + 10 Reorder the terms: 1 + -6y = 10 + -9y Solving 1 + -6y = 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. 1 + -6y + 9y = 10 + -9y + 9y Combine like terms: -6y + 9y = 3y 1 + 3y = 10 + -9y + 9y Combine like terms: -9y + 9y = 0 1 + 3y = 10 + 0 1 + 3y = 10 Add '-1' to each side of the equation. 1 + -1 + 3y = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 10 + -1 3y = 10 + -1 Combine like terms: 10 + -1 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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