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Simplifying 9y + -3(6y + -5y) = y + -2(3y + 9) Combine like terms: 6y + -5y = 1y 9y + -3(1y) = y + -2(3y + 9) Remove parenthesis around (1y) 9y + -3 * 1y = y + -2(3y + 9) Multiply -3 * 1 9y + -3y = y + -2(3y + 9) Combine like terms: 9y + -3y = 6y 6y = y + -2(3y + 9) Reorder the terms: 6y = y + -2(9 + 3y) 6y = y + (9 * -2 + 3y * -2) 6y = y + (-18 + -6y) Reorder the terms: 6y = -18 + y + -6y Combine like terms: y + -6y = -5y 6y = -18 + -5y Solving 6y = -18 + -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. 6y + 5y = -18 + -5y + 5y Combine like terms: 6y + 5y = 11y 11y = -18 + -5y + 5y Combine like terms: -5y + 5y = 0 11y = -18 + 0 11y = -18 Divide each side by '11'. y = -1.636363636 Simplifying y = -1.636363636
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