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Simplifying -6y + 4y + 11 = 9 + -1(10 + -3y) Reorder the terms: 11 + -6y + 4y = 9 + -1(10 + -3y) Combine like terms: -6y + 4y = -2y 11 + -2y = 9 + -1(10 + -3y) 11 + -2y = 9 + (10 * -1 + -3y * -1) 11 + -2y = 9 + (-10 + 3y) Combine like terms: 9 + -10 = -1 11 + -2y = -1 + 3y Solving 11 + -2y = -1 + 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. 11 + -2y + -3y = -1 + 3y + -3y Combine like terms: -2y + -3y = -5y 11 + -5y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 11 + -5y = -1 + 0 11 + -5y = -1 Add '-11' to each side of the equation. 11 + -11 + -5y = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = -1 + -11 -5y = -1 + -11 Combine like terms: -1 + -11 = -12 -5y = -12 Divide each side by '-5'. y = 2.4 Simplifying y = 2.4
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