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Simplifying 2(y + -4) + -1(6y + 7) + -7(9y + -8) = 0 Reorder the terms: 2(-4 + y) + -1(6y + 7) + -7(9y + -8) = 0 (-4 * 2 + y * 2) + -1(6y + 7) + -7(9y + -8) = 0 (-8 + 2y) + -1(6y + 7) + -7(9y + -8) = 0 Reorder the terms: -8 + 2y + -1(7 + 6y) + -7(9y + -8) = 0 -8 + 2y + (7 * -1 + 6y * -1) + -7(9y + -8) = 0 -8 + 2y + (-7 + -6y) + -7(9y + -8) = 0 Reorder the terms: -8 + 2y + -7 + -6y + -7(-8 + 9y) = 0 -8 + 2y + -7 + -6y + (-8 * -7 + 9y * -7) = 0 -8 + 2y + -7 + -6y + (56 + -63y) = 0 Reorder the terms: -8 + -7 + 56 + 2y + -6y + -63y = 0 Combine like terms: -8 + -7 = -15 -15 + 56 + 2y + -6y + -63y = 0 Combine like terms: -15 + 56 = 41 41 + 2y + -6y + -63y = 0 Combine like terms: 2y + -6y = -4y 41 + -4y + -63y = 0 Combine like terms: -4y + -63y = -67y 41 + -67y = 0 Solving 41 + -67y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -67y = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -67y = 0 + -41 -67y = 0 + -41 Combine like terms: 0 + -41 = -41 -67y = -41 Divide each side by '-67'. y = 0.6119402985 Simplifying y = 0.6119402985
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