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Simplifying 42 + 3y + -15 = 11y + -9 + -2y Reorder the terms: 42 + -15 + 3y = 11y + -9 + -2y Combine like terms: 42 + -15 = 27 27 + 3y = 11y + -9 + -2y Reorder the terms: 27 + 3y = -9 + 11y + -2y Combine like terms: 11y + -2y = 9y 27 + 3y = -9 + 9y Solving 27 + 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. 27 + 3y + -9y = -9 + 9y + -9y Combine like terms: 3y + -9y = -6y 27 + -6y = -9 + 9y + -9y Combine like terms: 9y + -9y = 0 27 + -6y = -9 + 0 27 + -6y = -9 Add '-27' to each side of the equation. 27 + -27 + -6y = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = -9 + -27 -6y = -9 + -27 Combine like terms: -9 + -27 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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