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