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Simplifying 9(y + 2) + -11y + -7 = (y + -3) Reorder the terms: 9(2 + y) + -11y + -7 = (y + -3) (2 * 9 + y * 9) + -11y + -7 = (y + -3) (18 + 9y) + -11y + -7 = (y + -3) Reorder the terms: 18 + -7 + 9y + -11y = (y + -3) Combine like terms: 18 + -7 = 11 11 + 9y + -11y = (y + -3) Combine like terms: 9y + -11y = -2y 11 + -2y = (y + -3) Reorder the terms: 11 + -2y = (-3 + y) Remove parenthesis around (-3 + y) 11 + -2y = -3 + y Solving 11 + -2y = -3 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 11 + -2y + -1y = -3 + y + -1y Combine like terms: -2y + -1y = -3y 11 + -3y = -3 + y + -1y Combine like terms: y + -1y = 0 11 + -3y = -3 + 0 11 + -3y = -3 Add '-11' to each side of the equation. 11 + -11 + -3y = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -3y = -3 + -11 -3y = -3 + -11 Combine like terms: -3 + -11 = -14 -3y = -14 Divide each side by '-3'. y = 4.666666667 Simplifying y = 4.666666667
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