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Simplifying -2(y + -6y) + 2 = -2(2y + -1y) + 9 + 11y Combine like terms: y + -6y = -5y -2(-5y) + 2 = -2(2y + -1y) + 9 + 11y Remove parenthesis around (-5y) -2 * -5y + 2 = -2(2y + -1y) + 9 + 11y Multiply -2 * -5 10y + 2 = -2(2y + -1y) + 9 + 11y Reorder the terms: 2 + 10y = -2(2y + -1y) + 9 + 11y Combine like terms: 2y + -1y = 1y 2 + 10y = -2(1y) + 9 + 11y Remove parenthesis around (1y) 2 + 10y = -2 * 1y + 9 + 11y Multiply -2 * 1 2 + 10y = -2y + 9 + 11y Reorder the terms: 2 + 10y = 9 + -2y + 11y Combine like terms: -2y + 11y = 9y 2 + 10y = 9 + 9y Solving 2 + 10y = 9 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 2 + 10y + -9y = 9 + 9y + -9y Combine like terms: 10y + -9y = 1y 2 + 1y = 9 + 9y + -9y Combine like terms: 9y + -9y = 0 2 + 1y = 9 + 0 2 + 1y = 9 Add '-2' to each side of the equation. 2 + -2 + 1y = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 9 + -2 1y = 9 + -2 Combine like terms: 9 + -2 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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