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Simplifying -2(y + -4y) + 8 = -5(3y + -1y) + 9 + 15y Combine like terms: y + -4y = -3y -2(-3y) + 8 = -5(3y + -1y) + 9 + 15y Remove parenthesis around (-3y) -2 * -3y + 8 = -5(3y + -1y) + 9 + 15y Multiply -2 * -3 6y + 8 = -5(3y + -1y) + 9 + 15y Reorder the terms: 8 + 6y = -5(3y + -1y) + 9 + 15y Combine like terms: 3y + -1y = 2y 8 + 6y = -5(2y) + 9 + 15y Remove parenthesis around (2y) 8 + 6y = -5 * 2y + 9 + 15y Multiply -5 * 2 8 + 6y = -10y + 9 + 15y Reorder the terms: 8 + 6y = 9 + -10y + 15y Combine like terms: -10y + 15y = 5y 8 + 6y = 9 + 5y Solving 8 + 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. 8 + 6y + -5y = 9 + 5y + -5y Combine like terms: 6y + -5y = 1y 8 + 1y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + 1y = 9 + 0 8 + 1y = 9 Add '-8' to each side of the equation. 8 + -8 + 1y = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 9 + -8 1y = 9 + -8 Combine like terms: 9 + -8 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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