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Simplifying -4y + 10 + 9y = 15 + 3y + -1 Reorder the terms: 10 + -4y + 9y = 15 + 3y + -1 Combine like terms: -4y + 9y = 5y 10 + 5y = 15 + 3y + -1 Reorder the terms: 10 + 5y = 15 + -1 + 3y Combine like terms: 15 + -1 = 14 10 + 5y = 14 + 3y Solving 10 + 5y = 14 + 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. 10 + 5y + -3y = 14 + 3y + -3y Combine like terms: 5y + -3y = 2y 10 + 2y = 14 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 2y = 14 + 0 10 + 2y = 14 Add '-10' to each side of the equation. 10 + -10 + 2y = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = 14 + -10 2y = 14 + -10 Combine like terms: 14 + -10 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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