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Simplifying 8y + 3y + -21 = 5y + 10 + -2 Reorder the terms: -21 + 8y + 3y = 5y + 10 + -2 Combine like terms: 8y + 3y = 11y -21 + 11y = 5y + 10 + -2 Reorder the terms: -21 + 11y = 10 + -2 + 5y Combine like terms: 10 + -2 = 8 -21 + 11y = 8 + 5y Solving -21 + 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. -21 + 11y + -5y = 8 + 5y + -5y Combine like terms: 11y + -5y = 6y -21 + 6y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 -21 + 6y = 8 + 0 -21 + 6y = 8 Add '21' to each side of the equation. -21 + 21 + 6y = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 6y = 8 + 21 6y = 8 + 21 Combine like terms: 8 + 21 = 29 6y = 29 Divide each side by '6'. y = 4.833333333 Simplifying y = 4.833333333
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