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Simplifying -6(y + -2y) + 7 = -3(4y + -1y) + 9 + 14y Combine like terms: y + -2y = -1y -6(-1y) + 7 = -3(4y + -1y) + 9 + 14y Remove parenthesis around (-1y) -6 * -1y + 7 = -3(4y + -1y) + 9 + 14y Multiply -6 * -1 6y + 7 = -3(4y + -1y) + 9 + 14y Reorder the terms: 7 + 6y = -3(4y + -1y) + 9 + 14y Combine like terms: 4y + -1y = 3y 7 + 6y = -3(3y) + 9 + 14y Remove parenthesis around (3y) 7 + 6y = -3 * 3y + 9 + 14y Multiply -3 * 3 7 + 6y = -9y + 9 + 14y Reorder the terms: 7 + 6y = 9 + -9y + 14y Combine like terms: -9y + 14y = 5y 7 + 6y = 9 + 5y Solving 7 + 6y = 9 + 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. 7 + 6y + -5y = 9 + 5y + -5y Combine like terms: 6y + -5y = 1y 7 + 1y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 1y = 9 + 0 7 + 1y = 9 Add '-7' to each side of the equation. 7 + -7 + 1y = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 9 + -7 1y = 9 + -7 Combine like terms: 9 + -7 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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