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Simplifying 7(3y + 9) = 2(5y + 9) Reorder the terms: 7(9 + 3y) = 2(5y + 9) (9 * 7 + 3y * 7) = 2(5y + 9) (63 + 21y) = 2(5y + 9) Reorder the terms: 63 + 21y = 2(9 + 5y) 63 + 21y = (9 * 2 + 5y * 2) 63 + 21y = (18 + 10y) Solving 63 + 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. 63 + 21y + -10y = 18 + 10y + -10y Combine like terms: 21y + -10y = 11y 63 + 11y = 18 + 10y + -10y Combine like terms: 10y + -10y = 0 63 + 11y = 18 + 0 63 + 11y = 18 Add '-63' to each side of the equation. 63 + -63 + 11y = 18 + -63 Combine like terms: 63 + -63 = 0 0 + 11y = 18 + -63 11y = 18 + -63 Combine like terms: 18 + -63 = -45 11y = -45 Divide each side by '11'. y = -4.090909091 Simplifying y = -4.090909091
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