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Simplifying 6y + 5(y + 2) = 5y + 8 Reorder the terms: 6y + 5(2 + y) = 5y + 8 6y + (2 * 5 + y * 5) = 5y + 8 6y + (10 + 5y) = 5y + 8 Reorder the terms: 10 + 6y + 5y = 5y + 8 Combine like terms: 6y + 5y = 11y 10 + 11y = 5y + 8 Reorder the terms: 10 + 11y = 8 + 5y Solving 10 + 11y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 10 + 11y + -5y = 8 + 5y + -5y Combine like terms: 11y + -5y = 6y 10 + 6y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + 6y = 8 + 0 10 + 6y = 8 Add '-10' to each side of the equation. 10 + -10 + 6y = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 6y = 8 + -10 6y = 8 + -10 Combine like terms: 8 + -10 = -2 6y = -2 Divide each side by '6'. y = -0.3333333333 Simplifying y = -0.3333333333
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