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Simplifying (5y + -6) + -1(8y + -2) = 0 Reorder the terms: (-6 + 5y) + -1(8y + -2) = 0 Remove parenthesis around (-6 + 5y) -6 + 5y + -1(8y + -2) = 0 Reorder the terms: -6 + 5y + -1(-2 + 8y) = 0 -6 + 5y + (-2 * -1 + 8y * -1) = 0 -6 + 5y + (2 + -8y) = 0 Reorder the terms: -6 + 2 + 5y + -8y = 0 Combine like terms: -6 + 2 = -4 -4 + 5y + -8y = 0 Combine like terms: 5y + -8y = -3y -4 + -3y = 0 Solving -4 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 0 + 4 -3y = 0 + 4 Combine like terms: 0 + 4 = 4 -3y = 4 Divide each side by '-3'. y = -1.333333333 Simplifying y = -1.333333333
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