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Simplifying -2(y + -6y) + 9 = -3(2y + -1y) + 1 + 12y Combine like terms: y + -6y = -5y -2(-5y) + 9 = -3(2y + -1y) + 1 + 12y Remove parenthesis around (-5y) -2 * -5y + 9 = -3(2y + -1y) + 1 + 12y Multiply -2 * -5 10y + 9 = -3(2y + -1y) + 1 + 12y Reorder the terms: 9 + 10y = -3(2y + -1y) + 1 + 12y Combine like terms: 2y + -1y = 1y 9 + 10y = -3(1y) + 1 + 12y Remove parenthesis around (1y) 9 + 10y = -3 * 1y + 1 + 12y Multiply -3 * 1 9 + 10y = -3y + 1 + 12y Reorder the terms: 9 + 10y = 1 + -3y + 12y Combine like terms: -3y + 12y = 9y 9 + 10y = 1 + 9y Solving 9 + 10y = 1 + 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. 9 + 10y + -9y = 1 + 9y + -9y Combine like terms: 10y + -9y = 1y 9 + 1y = 1 + 9y + -9y Combine like terms: 9y + -9y = 0 9 + 1y = 1 + 0 9 + 1y = 1 Add '-9' to each side of the equation. 9 + -9 + 1y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 1 + -9 1y = 1 + -9 Combine like terms: 1 + -9 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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