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Simplifying -2(y + -4y) + 6 = -6(3y + -1y) + 9 + 17y Combine like terms: y + -4y = -3y -2(-3y) + 6 = -6(3y + -1y) + 9 + 17y Remove parenthesis around (-3y) -2 * -3y + 6 = -6(3y + -1y) + 9 + 17y Multiply -2 * -3 6y + 6 = -6(3y + -1y) + 9 + 17y Reorder the terms: 6 + 6y = -6(3y + -1y) + 9 + 17y Combine like terms: 3y + -1y = 2y 6 + 6y = -6(2y) + 9 + 17y Remove parenthesis around (2y) 6 + 6y = -6 * 2y + 9 + 17y Multiply -6 * 2 6 + 6y = -12y + 9 + 17y Reorder the terms: 6 + 6y = 9 + -12y + 17y Combine like terms: -12y + 17y = 5y 6 + 6y = 9 + 5y Solving 6 + 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. 6 + 6y + -5y = 9 + 5y + -5y Combine like terms: 6y + -5y = 1y 6 + 1y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 6 + 1y = 9 + 0 6 + 1y = 9 Add '-6' to each side of the equation. 6 + -6 + 1y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 9 + -6 1y = 9 + -6 Combine like terms: 9 + -6 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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