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Simplifying (10y + (9 + -1y)) + 9 = (y + 10(y + -9)) Remove parenthesis around (9 + -1y) (10y + 9 + -1y) + 9 = (y + 10(y + -9)) Reorder the terms: (9 + 10y + -1y) + 9 = (y + 10(y + -9)) Combine like terms: 10y + -1y = 9y (9 + 9y) + 9 = (y + 10(y + -9)) Remove parenthesis around (9 + 9y) 9 + 9y + 9 = (y + 10(y + -9)) Reorder the terms: 9 + 9 + 9y = (y + 10(y + -9)) Combine like terms: 9 + 9 = 18 18 + 9y = (y + 10(y + -9)) Reorder the terms: 18 + 9y = (y + 10(-9 + y)) 18 + 9y = (y + (-9 * 10 + y * 10)) 18 + 9y = (y + (-90 + 10y)) Reorder the terms: 18 + 9y = (-90 + y + 10y) Combine like terms: y + 10y = 11y 18 + 9y = (-90 + 11y) Remove parenthesis around (-90 + 11y) 18 + 9y = -90 + 11y Solving 18 + 9y = -90 + 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. 18 + 9y + -11y = -90 + 11y + -11y Combine like terms: 9y + -11y = -2y 18 + -2y = -90 + 11y + -11y Combine like terms: 11y + -11y = 0 18 + -2y = -90 + 0 18 + -2y = -90 Add '-18' to each side of the equation. 18 + -18 + -2y = -90 + -18 Combine like terms: 18 + -18 = 0 0 + -2y = -90 + -18 -2y = -90 + -18 Combine like terms: -90 + -18 = -108 -2y = -108 Divide each side by '-2'. y = 54 Simplifying y = 54
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