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Simplifying 5 + 11y + -3 = 8y + 42 + -5y Reorder the terms: 5 + -3 + 11y = 8y + 42 + -5y Combine like terms: 5 + -3 = 2 2 + 11y = 8y + 42 + -5y Reorder the terms: 2 + 11y = 42 + 8y + -5y Combine like terms: 8y + -5y = 3y 2 + 11y = 42 + 3y Solving 2 + 11y = 42 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 2 + 11y + -3y = 42 + 3y + -3y Combine like terms: 11y + -3y = 8y 2 + 8y = 42 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 8y = 42 + 0 2 + 8y = 42 Add '-2' to each side of the equation. 2 + -2 + 8y = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = 42 + -2 8y = 42 + -2 Combine like terms: 42 + -2 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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