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Simplifying 5y + -2 + y + -6 = 9y + 10 + -6y + 13 Reorder the terms: -2 + -6 + 5y + y = 9y + 10 + -6y + 13 Combine like terms: -2 + -6 = -8 -8 + 5y + y = 9y + 10 + -6y + 13 Combine like terms: 5y + y = 6y -8 + 6y = 9y + 10 + -6y + 13 Reorder the terms: -8 + 6y = 10 + 13 + 9y + -6y Combine like terms: 10 + 13 = 23 -8 + 6y = 23 + 9y + -6y Combine like terms: 9y + -6y = 3y -8 + 6y = 23 + 3y Solving -8 + 6y = 23 + 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. -8 + 6y + -3y = 23 + 3y + -3y Combine like terms: 6y + -3y = 3y -8 + 3y = 23 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 3y = 23 + 0 -8 + 3y = 23 Add '8' to each side of the equation. -8 + 8 + 3y = 23 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 23 + 8 3y = 23 + 8 Combine like terms: 23 + 8 = 31 3y = 31 Divide each side by '3'. y = 10.33333333 Simplifying y = 10.33333333
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