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Simplifying 47 + 3y + -14 = 11y + -9 + -2y Reorder the terms: 47 + -14 + 3y = 11y + -9 + -2y Combine like terms: 47 + -14 = 33 33 + 3y = 11y + -9 + -2y Reorder the terms: 33 + 3y = -9 + 11y + -2y Combine like terms: 11y + -2y = 9y 33 + 3y = -9 + 9y Solving 33 + 3y = -9 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 33 + 3y + -9y = -9 + 9y + -9y Combine like terms: 3y + -9y = -6y 33 + -6y = -9 + 9y + -9y Combine like terms: 9y + -9y = 0 33 + -6y = -9 + 0 33 + -6y = -9 Add '-33' to each side of the equation. 33 + -33 + -6y = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -6y = -9 + -33 -6y = -9 + -33 Combine like terms: -9 + -33 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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