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Simplifying (6y + -7y + -3) + -1(2y + -9y + -7) = 0 Reorder the terms: (-3 + 6y + -7y) + -1(2y + -9y + -7) = 0 Combine like terms: 6y + -7y = -1y (-3 + -1y) + -1(2y + -9y + -7) = 0 Remove parenthesis around (-3 + -1y) -3 + -1y + -1(2y + -9y + -7) = 0 Reorder the terms: -3 + -1y + -1(-7 + 2y + -9y) = 0 Combine like terms: 2y + -9y = -7y -3 + -1y + -1(-7 + -7y) = 0 -3 + -1y + (-7 * -1 + -7y * -1) = 0 -3 + -1y + (7 + 7y) = 0 Reorder the terms: -3 + 7 + -1y + 7y = 0 Combine like terms: -3 + 7 = 4 4 + -1y + 7y = 0 Combine like terms: -1y + 7y = 6y 4 + 6y = 0 Solving 4 + 6y = 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 + 6y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = 0 + -4 6y = 0 + -4 Combine like terms: 0 + -4 = -4 6y = -4 Divide each side by '6'. y = -0.6666666667 Simplifying y = -0.6666666667
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