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Simplifying 6 + 17y + -1 = 7y + 47 + -4y Reorder the terms: 6 + -1 + 17y = 7y + 47 + -4y Combine like terms: 6 + -1 = 5 5 + 17y = 7y + 47 + -4y Reorder the terms: 5 + 17y = 47 + 7y + -4y Combine like terms: 7y + -4y = 3y 5 + 17y = 47 + 3y Solving 5 + 17y = 47 + 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. 5 + 17y + -3y = 47 + 3y + -3y Combine like terms: 17y + -3y = 14y 5 + 14y = 47 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + 14y = 47 + 0 5 + 14y = 47 Add '-5' to each side of the equation. 5 + -5 + 14y = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 14y = 47 + -5 14y = 47 + -5 Combine like terms: 47 + -5 = 42 14y = 42 Divide each side by '14'. y = 3 Simplifying y = 3
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