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Simplifying 7(5y + -7) + -1(6y + 8) = 0 Reorder the terms: 7(-7 + 5y) + -1(6y + 8) = 0 (-7 * 7 + 5y * 7) + -1(6y + 8) = 0 (-49 + 35y) + -1(6y + 8) = 0 Reorder the terms: -49 + 35y + -1(8 + 6y) = 0 -49 + 35y + (8 * -1 + 6y * -1) = 0 -49 + 35y + (-8 + -6y) = 0 Reorder the terms: -49 + -8 + 35y + -6y = 0 Combine like terms: -49 + -8 = -57 -57 + 35y + -6y = 0 Combine like terms: 35y + -6y = 29y -57 + 29y = 0 Solving -57 + 29y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 29y = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 29y = 0 + 57 29y = 0 + 57 Combine like terms: 0 + 57 = 57 29y = 57 Divide each side by '29'. y = 1.965517241 Simplifying y = 1.965517241
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