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