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Simplifying -5(y + -2y) + 6 = -6(2y + -1y) + 8 + 10y Combine like terms: y + -2y = -1y -5(-1y) + 6 = -6(2y + -1y) + 8 + 10y Remove parenthesis around (-1y) -5 * -1y + 6 = -6(2y + -1y) + 8 + 10y Multiply -5 * -1 5y + 6 = -6(2y + -1y) + 8 + 10y Reorder the terms: 6 + 5y = -6(2y + -1y) + 8 + 10y Combine like terms: 2y + -1y = 1y 6 + 5y = -6(1y) + 8 + 10y Remove parenthesis around (1y) 6 + 5y = -6 * 1y + 8 + 10y Multiply -6 * 1 6 + 5y = -6y + 8 + 10y Reorder the terms: 6 + 5y = 8 + -6y + 10y Combine like terms: -6y + 10y = 4y 6 + 5y = 8 + 4y Solving 6 + 5y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 6 + 5y + -4y = 8 + 4y + -4y Combine like terms: 5y + -4y = 1y 6 + 1y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + 1y = 8 + 0 6 + 1y = 8 Add '-6' to each side of the equation. 6 + -6 + 1y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 8 + -6 1y = 8 + -6 Combine like terms: 8 + -6 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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