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Simplifying -4(y + -2y) + 6 = -2(6y + -1y) + 2 + 13y Combine like terms: y + -2y = -1y -4(-1y) + 6 = -2(6y + -1y) + 2 + 13y Remove parenthesis around (-1y) -4 * -1y + 6 = -2(6y + -1y) + 2 + 13y Multiply -4 * -1 4y + 6 = -2(6y + -1y) + 2 + 13y Reorder the terms: 6 + 4y = -2(6y + -1y) + 2 + 13y Combine like terms: 6y + -1y = 5y 6 + 4y = -2(5y) + 2 + 13y Remove parenthesis around (5y) 6 + 4y = -2 * 5y + 2 + 13y Multiply -2 * 5 6 + 4y = -10y + 2 + 13y Reorder the terms: 6 + 4y = 2 + -10y + 13y Combine like terms: -10y + 13y = 3y 6 + 4y = 2 + 3y Solving 6 + 4y = 2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6 + 4y + -3y = 2 + 3y + -3y Combine like terms: 4y + -3y = 1y 6 + 1y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + 1y = 2 + 0 6 + 1y = 2 Add '-6' to each side of the equation. 6 + -6 + 1y = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 2 + -6 1y = 2 + -6 Combine like terms: 2 + -6 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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