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Simplifying 8 + 8y = 40 + -1(6 + -3y) 8 + 8y = 40 + (6 * -1 + -3y * -1) 8 + 8y = 40 + (-6 + 3y) Combine like terms: 40 + -6 = 34 8 + 8y = 34 + 3y Solving 8 + 8y = 34 + 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. 8 + 8y + -3y = 34 + 3y + -3y Combine like terms: 8y + -3y = 5y 8 + 5y = 34 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 5y = 34 + 0 8 + 5y = 34 Add '-8' to each side of the equation. 8 + -8 + 5y = 34 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 34 + -8 5y = 34 + -8 Combine like terms: 34 + -8 = 26 5y = 26 Divide each side by '5'. y = 5.2 Simplifying y = 5.2
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