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