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