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Simplifying -3(y + -3y) + 6 = -6(3y + -1y) + 8 + 17y Combine like terms: y + -3y = -2y -3(-2y) + 6 = -6(3y + -1y) + 8 + 17y Remove parenthesis around (-2y) -3 * -2y + 6 = -6(3y + -1y) + 8 + 17y Multiply -3 * -2 6y + 6 = -6(3y + -1y) + 8 + 17y Reorder the terms: 6 + 6y = -6(3y + -1y) + 8 + 17y Combine like terms: 3y + -1y = 2y 6 + 6y = -6(2y) + 8 + 17y Remove parenthesis around (2y) 6 + 6y = -6 * 2y + 8 + 17y Multiply -6 * 2 6 + 6y = -12y + 8 + 17y Reorder the terms: 6 + 6y = 8 + -12y + 17y Combine like terms: -12y + 17y = 5y 6 + 6y = 8 + 5y Solving 6 + 6y = 8 + 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 = 8 + 5y + -5y Combine like terms: 6y + -5y = 1y 6 + 1y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 6 + 1y = 8 + 0 6 + 1y = 8 Add '-6' to each side of the equation. 6 + -6 + 1y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 8 + -6 1y = 8 + -6 Combine like terms: 8 + -6 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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