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Simplifying -3(y + -3y) + 9 = -2(6y + -1y) + 8 + 15y Combine like terms: y + -3y = -2y -3(-2y) + 9 = -2(6y + -1y) + 8 + 15y Remove parenthesis around (-2y) -3 * -2y + 9 = -2(6y + -1y) + 8 + 15y Multiply -3 * -2 6y + 9 = -2(6y + -1y) + 8 + 15y Reorder the terms: 9 + 6y = -2(6y + -1y) + 8 + 15y Combine like terms: 6y + -1y = 5y 9 + 6y = -2(5y) + 8 + 15y Remove parenthesis around (5y) 9 + 6y = -2 * 5y + 8 + 15y Multiply -2 * 5 9 + 6y = -10y + 8 + 15y Reorder the terms: 9 + 6y = 8 + -10y + 15y Combine like terms: -10y + 15y = 5y 9 + 6y = 8 + 5y Solving 9 + 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. 9 + 6y + -5y = 8 + 5y + -5y Combine like terms: 6y + -5y = 1y 9 + 1y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + 1y = 8 + 0 9 + 1y = 8 Add '-9' to each side of the equation. 9 + -9 + 1y = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 8 + -9 1y = 8 + -9 Combine like terms: 8 + -9 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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