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Simplifying 7(3y + 1) = 2(5y + 9) Reorder the terms: 7(1 + 3y) = 2(5y + 9) (1 * 7 + 3y * 7) = 2(5y + 9) (7 + 21y) = 2(5y + 9) Reorder the terms: 7 + 21y = 2(9 + 5y) 7 + 21y = (9 * 2 + 5y * 2) 7 + 21y = (18 + 10y) Solving 7 + 21y = 18 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 7 + 21y + -10y = 18 + 10y + -10y Combine like terms: 21y + -10y = 11y 7 + 11y = 18 + 10y + -10y Combine like terms: 10y + -10y = 0 7 + 11y = 18 + 0 7 + 11y = 18 Add '-7' to each side of the equation. 7 + -7 + 11y = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 11y = 18 + -7 11y = 18 + -7 Combine like terms: 18 + -7 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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