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Simplifying 7 + 5y + -6 = 9y + 19 + -6y Reorder the terms: 7 + -6 + 5y = 9y + 19 + -6y Combine like terms: 7 + -6 = 1 1 + 5y = 9y + 19 + -6y Reorder the terms: 1 + 5y = 19 + 9y + -6y Combine like terms: 9y + -6y = 3y 1 + 5y = 19 + 3y Solving 1 + 5y = 19 + 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. 1 + 5y + -3y = 19 + 3y + -3y Combine like terms: 5y + -3y = 2y 1 + 2y = 19 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + 2y = 19 + 0 1 + 2y = 19 Add '-1' to each side of the equation. 1 + -1 + 2y = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 19 + -1 2y = 19 + -1 Combine like terms: 19 + -1 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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