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Simplifying 5 + 6y + -1(3y + 3) + (5y + 6) = 0 Reorder the terms: 5 + 6y + -1(3 + 3y) + (5y + 6) = 0 5 + 6y + (3 * -1 + 3y * -1) + (5y + 6) = 0 5 + 6y + (-3 + -3y) + (5y + 6) = 0 Reorder the terms: 5 + 6y + -3 + -3y + (6 + 5y) = 0 Remove parenthesis around (6 + 5y) 5 + 6y + -3 + -3y + 6 + 5y = 0 Reorder the terms: 5 + -3 + 6 + 6y + -3y + 5y = 0 Combine like terms: 5 + -3 = 2 2 + 6 + 6y + -3y + 5y = 0 Combine like terms: 2 + 6 = 8 8 + 6y + -3y + 5y = 0 Combine like terms: 6y + -3y = 3y 8 + 3y + 5y = 0 Combine like terms: 3y + 5y = 8y 8 + 8y = 0 Solving 8 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = 0 + -8 8y = 0 + -8 Combine like terms: 0 + -8 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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