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Simplifying 34 + 4y + -10 = 14y + -11 + -3y Reorder the terms: 34 + -10 + 4y = 14y + -11 + -3y Combine like terms: 34 + -10 = 24 24 + 4y = 14y + -11 + -3y Reorder the terms: 24 + 4y = -11 + 14y + -3y Combine like terms: 14y + -3y = 11y 24 + 4y = -11 + 11y Solving 24 + 4y = -11 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 24 + 4y + -11y = -11 + 11y + -11y Combine like terms: 4y + -11y = -7y 24 + -7y = -11 + 11y + -11y Combine like terms: 11y + -11y = 0 24 + -7y = -11 + 0 24 + -7y = -11 Add '-24' to each side of the equation. 24 + -24 + -7y = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -7y = -11 + -24 -7y = -11 + -24 Combine like terms: -11 + -24 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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