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Simplifying -6(y + -2y) + 2 = -6(3y + -1y) + 9 + 17y Combine like terms: y + -2y = -1y -6(-1y) + 2 = -6(3y + -1y) + 9 + 17y Remove parenthesis around (-1y) -6 * -1y + 2 = -6(3y + -1y) + 9 + 17y Multiply -6 * -1 6y + 2 = -6(3y + -1y) + 9 + 17y Reorder the terms: 2 + 6y = -6(3y + -1y) + 9 + 17y Combine like terms: 3y + -1y = 2y 2 + 6y = -6(2y) + 9 + 17y Remove parenthesis around (2y) 2 + 6y = -6 * 2y + 9 + 17y Multiply -6 * 2 2 + 6y = -12y + 9 + 17y Reorder the terms: 2 + 6y = 9 + -12y + 17y Combine like terms: -12y + 17y = 5y 2 + 6y = 9 + 5y Solving 2 + 6y = 9 + 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 = 9 + 5y + -5y Combine like terms: 6y + -5y = 1y 2 + 1y = 9 + 5y + -5y Combine like terms: 5y + -5y = 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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