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Simplifying 32 + 2y + -10 = 11y + -14 + -3y Reorder the terms: 32 + -10 + 2y = 11y + -14 + -3y Combine like terms: 32 + -10 = 22 22 + 2y = 11y + -14 + -3y Reorder the terms: 22 + 2y = -14 + 11y + -3y Combine like terms: 11y + -3y = 8y 22 + 2y = -14 + 8y Solving 22 + 2y = -14 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 22 + 2y + -8y = -14 + 8y + -8y Combine like terms: 2y + -8y = -6y 22 + -6y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 22 + -6y = -14 + 0 22 + -6y = -14 Add '-22' to each side of the equation. 22 + -22 + -6y = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -6y = -14 + -22 -6y = -14 + -22 Combine like terms: -14 + -22 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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