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Simplifying -2(y + -4y) + 2 = -2(6y + -1y) + 9 + 15y Combine like terms: y + -4y = -3y -2(-3y) + 2 = -2(6y + -1y) + 9 + 15y Remove parenthesis around (-3y) -2 * -3y + 2 = -2(6y + -1y) + 9 + 15y Multiply -2 * -3 6y + 2 = -2(6y + -1y) + 9 + 15y Reorder the terms: 2 + 6y = -2(6y + -1y) + 9 + 15y Combine like terms: 6y + -1y = 5y 2 + 6y = -2(5y) + 9 + 15y Remove parenthesis around (5y) 2 + 6y = -2 * 5y + 9 + 15y Multiply -2 * 5 2 + 6y = -10y + 9 + 15y Reorder the terms: 2 + 6y = 9 + -10y + 15y Combine like terms: -10y + 15y = 5y 2 + 6y = 9 + 5y Solving 2 + 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. 2 + 6y + -5y = 9 + 5y + -5y Combine like terms: 6y + -5y = 1y 2 + 1y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 2 + 1y = 9 + 0 2 + 1y = 9 Add '-2' to each side of the equation. 2 + -2 + 1y = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 9 + -2 1y = 9 + -2 Combine like terms: 9 + -2 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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