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Simplifying (6y + -3) + -1(3y + 8) = 0 Reorder the terms: (-3 + 6y) + -1(3y + 8) = 0 Remove parenthesis around (-3 + 6y) -3 + 6y + -1(3y + 8) = 0 Reorder the terms: -3 + 6y + -1(8 + 3y) = 0 -3 + 6y + (8 * -1 + 3y * -1) = 0 -3 + 6y + (-8 + -3y) = 0 Reorder the terms: -3 + -8 + 6y + -3y = 0 Combine like terms: -3 + -8 = -11 -11 + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y -11 + 3y = 0 Solving -11 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3y = 0 + 11 3y = 0 + 11 Combine like terms: 0 + 11 = 11 3y = 11 Divide each side by '3'. y = 3.666666667 Simplifying y = 3.666666667
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