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