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Simplifying 47 + 4y + -16 = 13y + -11 + -2y Reorder the terms: 47 + -16 + 4y = 13y + -11 + -2y Combine like terms: 47 + -16 = 31 31 + 4y = 13y + -11 + -2y Reorder the terms: 31 + 4y = -11 + 13y + -2y Combine like terms: 13y + -2y = 11y 31 + 4y = -11 + 11y Solving 31 + 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. 31 + 4y + -11y = -11 + 11y + -11y Combine like terms: 4y + -11y = -7y 31 + -7y = -11 + 11y + -11y Combine like terms: 11y + -11y = 0 31 + -7y = -11 + 0 31 + -7y = -11 Add '-31' to each side of the equation. 31 + -31 + -7y = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -7y = -11 + -31 -7y = -11 + -31 Combine like terms: -11 + -31 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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