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