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Simplifying (7y + -6) + -1(3y + 8) = 0 Reorder the terms: (-6 + 7y) + -1(3y + 8) = 0 Remove parenthesis around (-6 + 7y) -6 + 7y + -1(3y + 8) = 0 Reorder the terms: -6 + 7y + -1(8 + 3y) = 0 -6 + 7y + (8 * -1 + 3y * -1) = 0 -6 + 7y + (-8 + -3y) = 0 Reorder the terms: -6 + -8 + 7y + -3y = 0 Combine like terms: -6 + -8 = -14 -14 + 7y + -3y = 0 Combine like terms: 7y + -3y = 4y -14 + 4y = 0 Solving -14 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 4y = 0 + 14 4y = 0 + 14 Combine like terms: 0 + 14 = 14 4y = 14 Divide each side by '4'. y = 3.5 Simplifying y = 3.5
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