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Simplifying 45 + 3y + -19 = 11y + -10 + -2y Reorder the terms: 45 + -19 + 3y = 11y + -10 + -2y Combine like terms: 45 + -19 = 26 26 + 3y = 11y + -10 + -2y Reorder the terms: 26 + 3y = -10 + 11y + -2y Combine like terms: 11y + -2y = 9y 26 + 3y = -10 + 9y Solving 26 + 3y = -10 + 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. 26 + 3y + -9y = -10 + 9y + -9y Combine like terms: 3y + -9y = -6y 26 + -6y = -10 + 9y + -9y Combine like terms: 9y + -9y = 0 26 + -6y = -10 + 0 26 + -6y = -10 Add '-26' to each side of the equation. 26 + -26 + -6y = -10 + -26 Combine like terms: 26 + -26 = 0 0 + -6y = -10 + -26 -6y = -10 + -26 Combine like terms: -10 + -26 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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