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