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Simplifying -3(y + -3y) + 9 = -2(4y + -1y) + 1 + 11y Combine like terms: y + -3y = -2y -3(-2y) + 9 = -2(4y + -1y) + 1 + 11y Remove parenthesis around (-2y) -3 * -2y + 9 = -2(4y + -1y) + 1 + 11y Multiply -3 * -2 6y + 9 = -2(4y + -1y) + 1 + 11y Reorder the terms: 9 + 6y = -2(4y + -1y) + 1 + 11y Combine like terms: 4y + -1y = 3y 9 + 6y = -2(3y) + 1 + 11y Remove parenthesis around (3y) 9 + 6y = -2 * 3y + 1 + 11y Multiply -2 * 3 9 + 6y = -6y + 1 + 11y Reorder the terms: 9 + 6y = 1 + -6y + 11y Combine like terms: -6y + 11y = 5y 9 + 6y = 1 + 5y Solving 9 + 6y = 1 + 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. 9 + 6y + -5y = 1 + 5y + -5y Combine like terms: 6y + -5y = 1y 9 + 1y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + 1y = 1 + 0 9 + 1y = 1 Add '-9' to each side of the equation. 9 + -9 + 1y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 1 + -9 1y = 1 + -9 Combine like terms: 1 + -9 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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