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Simplifying 12 + (5 + 2y) = 4y + -1(6 + -9y) Remove parenthesis around (5 + 2y) 12 + 5 + 2y = 4y + -1(6 + -9y) Combine like terms: 12 + 5 = 17 17 + 2y = 4y + -1(6 + -9y) 17 + 2y = 4y + (6 * -1 + -9y * -1) 17 + 2y = 4y + (-6 + 9y) Reorder the terms: 17 + 2y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 17 + 2y = -6 + 13y Solving 17 + 2y = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 17 + 2y + -13y = -6 + 13y + -13y Combine like terms: 2y + -13y = -11y 17 + -11y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 17 + -11y = -6 + 0 17 + -11y = -6 Add '-17' to each side of the equation. 17 + -17 + -11y = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -11y = -6 + -17 -11y = -6 + -17 Combine like terms: -6 + -17 = -23 -11y = -23 Divide each side by '-11'. y = 2.090909091 Simplifying y = 2.090909091
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