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Simplifying 4(6y + -7) + -1(6y + 6) = 0 Reorder the terms: 4(-7 + 6y) + -1(6y + 6) = 0 (-7 * 4 + 6y * 4) + -1(6y + 6) = 0 (-28 + 24y) + -1(6y + 6) = 0 Reorder the terms: -28 + 24y + -1(6 + 6y) = 0 -28 + 24y + (6 * -1 + 6y * -1) = 0 -28 + 24y + (-6 + -6y) = 0 Reorder the terms: -28 + -6 + 24y + -6y = 0 Combine like terms: -28 + -6 = -34 -34 + 24y + -6y = 0 Combine like terms: 24y + -6y = 18y -34 + 18y = 0 Solving -34 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 18y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 18y = 0 + 34 18y = 0 + 34 Combine like terms: 0 + 34 = 34 18y = 34 Divide each side by '18'. y = 1.888888889 Simplifying y = 1.888888889
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