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Simplifying 10y + 12 + y = 8y + 21 Reorder the terms: 12 + 10y + y = 8y + 21 Combine like terms: 10y + y = 11y 12 + 11y = 8y + 21 Reorder the terms: 12 + 11y = 21 + 8y Solving 12 + 11y = 21 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 12 + 11y + -8y = 21 + 8y + -8y Combine like terms: 11y + -8y = 3y 12 + 3y = 21 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + 3y = 21 + 0 12 + 3y = 21 Add '-12' to each side of the equation. 12 + -12 + 3y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 21 + -12 3y = 21 + -12 Combine like terms: 21 + -12 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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