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Simplifying 45 + 3y + -17 = 11y + -14 + -2y Reorder the terms: 45 + -17 + 3y = 11y + -14 + -2y Combine like terms: 45 + -17 = 28 28 + 3y = 11y + -14 + -2y Reorder the terms: 28 + 3y = -14 + 11y + -2y Combine like terms: 11y + -2y = 9y 28 + 3y = -14 + 9y Solving 28 + 3y = -14 + 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. 28 + 3y + -9y = -14 + 9y + -9y Combine like terms: 3y + -9y = -6y 28 + -6y = -14 + 9y + -9y Combine like terms: 9y + -9y = 0 28 + -6y = -14 + 0 28 + -6y = -14 Add '-28' to each side of the equation. 28 + -28 + -6y = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -6y = -14 + -28 -6y = -14 + -28 Combine like terms: -14 + -28 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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