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Simplifying 34 + 4y + -9 = 13y + -10 + -2y Reorder the terms: 34 + -9 + 4y = 13y + -10 + -2y Combine like terms: 34 + -9 = 25 25 + 4y = 13y + -10 + -2y Reorder the terms: 25 + 4y = -10 + 13y + -2y Combine like terms: 13y + -2y = 11y 25 + 4y = -10 + 11y Solving 25 + 4y = -10 + 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. 25 + 4y + -11y = -10 + 11y + -11y Combine like terms: 4y + -11y = -7y 25 + -7y = -10 + 11y + -11y Combine like terms: 11y + -11y = 0 25 + -7y = -10 + 0 25 + -7y = -10 Add '-25' to each side of the equation. 25 + -25 + -7y = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -7y = -10 + -25 -7y = -10 + -25 Combine like terms: -10 + -25 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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