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Simplifying 9(y + 2) + -11y + -7 = 3(y + -3) Reorder the terms: 9(2 + y) + -11y + -7 = 3(y + -3) (2 * 9 + y * 9) + -11y + -7 = 3(y + -3) (18 + 9y) + -11y + -7 = 3(y + -3) Reorder the terms: 18 + -7 + 9y + -11y = 3(y + -3) Combine like terms: 18 + -7 = 11 11 + 9y + -11y = 3(y + -3) Combine like terms: 9y + -11y = -2y 11 + -2y = 3(y + -3) Reorder the terms: 11 + -2y = 3(-3 + y) 11 + -2y = (-3 * 3 + y * 3) 11 + -2y = (-9 + 3y) Solving 11 + -2y = -9 + 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 = -9 + 3y + -3y Combine like terms: -2y + -3y = -5y 11 + -5y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 11 + -5y = -9 + 0 11 + -5y = -9 Add '-11' to each side of the equation. 11 + -11 + -5y = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = -9 + -11 -5y = -9 + -11 Combine like terms: -9 + -11 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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