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Simplifying -6(y + -3y) + 6 = -6(2y + -1y) + 8 + 17y Combine like terms: y + -3y = -2y -6(-2y) + 6 = -6(2y + -1y) + 8 + 17y Remove parenthesis around (-2y) -6 * -2y + 6 = -6(2y + -1y) + 8 + 17y Multiply -6 * -2 12y + 6 = -6(2y + -1y) + 8 + 17y Reorder the terms: 6 + 12y = -6(2y + -1y) + 8 + 17y Combine like terms: 2y + -1y = 1y 6 + 12y = -6(1y) + 8 + 17y Remove parenthesis around (1y) 6 + 12y = -6 * 1y + 8 + 17y Multiply -6 * 1 6 + 12y = -6y + 8 + 17y Reorder the terms: 6 + 12y = 8 + -6y + 17y Combine like terms: -6y + 17y = 11y 6 + 12y = 8 + 11y Solving 6 + 12y = 8 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 6 + 12y + -11y = 8 + 11y + -11y Combine like terms: 12y + -11y = 1y 6 + 1y = 8 + 11y + -11y Combine like terms: 11y + -11y = 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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