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Simplifying -3(y + 3) = 5y + -5 + 2(3y + 4) Reorder the terms: -3(3 + y) = 5y + -5 + 2(3y + 4) (3 * -3 + y * -3) = 5y + -5 + 2(3y + 4) (-9 + -3y) = 5y + -5 + 2(3y + 4) Reorder the terms: -9 + -3y = 5y + -5 + 2(4 + 3y) -9 + -3y = 5y + -5 + (4 * 2 + 3y * 2) -9 + -3y = 5y + -5 + (8 + 6y) Reorder the terms: -9 + -3y = -5 + 8 + 5y + 6y Combine like terms: -5 + 8 = 3 -9 + -3y = 3 + 5y + 6y Combine like terms: 5y + 6y = 11y -9 + -3y = 3 + 11y Solving -9 + -3y = 3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -9 + -3y + -11y = 3 + 11y + -11y Combine like terms: -3y + -11y = -14y -9 + -14y = 3 + 11y + -11y Combine like terms: 11y + -11y = 0 -9 + -14y = 3 + 0 -9 + -14y = 3 Add '9' to each side of the equation. -9 + 9 + -14y = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -14y = 3 + 9 -14y = 3 + 9 Combine like terms: 3 + 9 = 12 -14y = 12 Divide each side by '-14'. y = -0.8571428571 Simplifying y = -0.8571428571
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