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Simplifying (6y + -6) + -1(3 + 5y) = 6 Reorder the terms: (-6 + 6y) + -1(3 + 5y) = 6 Remove parenthesis around (-6 + 6y) -6 + 6y + -1(3 + 5y) = 6 -6 + 6y + (3 * -1 + 5y * -1) = 6 -6 + 6y + (-3 + -5y) = 6 Reorder the terms: -6 + -3 + 6y + -5y = 6 Combine like terms: -6 + -3 = -9 -9 + 6y + -5y = 6 Combine like terms: 6y + -5y = 1y -9 + 1y = 6 Solving -9 + 1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1y = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 1y = 6 + 9 1y = 6 + 9 Combine like terms: 6 + 9 = 15 1y = 15 Divide each side by '1'. y = 15 Simplifying y = 15
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