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Simplifying 3(1 + y) + 7(3 + y) = 11y (1 * 3 + y * 3) + 7(3 + y) = 11y (3 + 3y) + 7(3 + y) = 11y 3 + 3y + (3 * 7 + y * 7) = 11y 3 + 3y + (21 + 7y) = 11y Reorder the terms: 3 + 21 + 3y + 7y = 11y Combine like terms: 3 + 21 = 24 24 + 3y + 7y = 11y Combine like terms: 3y + 7y = 10y 24 + 10y = 11y Solving 24 + 10y = 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 24 + 10y + -11y = 11y + -11y Combine like terms: 10y + -11y = -1y 24 + -1y = 11y + -11y Combine like terms: 11y + -11y = 0 24 + -1y = 0 Add '-24' to each side of the equation. 24 + -24 + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 0 + -24 -1y = 0 + -24 Combine like terms: 0 + -24 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24
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