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Simplifying 31 + 4y + -2 = 14y + -13 + -3y Reorder the terms: 31 + -2 + 4y = 14y + -13 + -3y Combine like terms: 31 + -2 = 29 29 + 4y = 14y + -13 + -3y Reorder the terms: 29 + 4y = -13 + 14y + -3y Combine like terms: 14y + -3y = 11y 29 + 4y = -13 + 11y Solving 29 + 4y = -13 + 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. 29 + 4y + -11y = -13 + 11y + -11y Combine like terms: 4y + -11y = -7y 29 + -7y = -13 + 11y + -11y Combine like terms: 11y + -11y = 0 29 + -7y = -13 + 0 29 + -7y = -13 Add '-29' to each side of the equation. 29 + -29 + -7y = -13 + -29 Combine like terms: 29 + -29 = 0 0 + -7y = -13 + -29 -7y = -13 + -29 Combine like terms: -13 + -29 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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