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Simplifying -6.9(2y + 6) + -1.7(3y + -5) = 0 Reorder the terms: -6.9(6 + 2y) + -1.7(3y + -5) = 0 (6 * -6.9 + 2y * -6.9) + -1.7(3y + -5) = 0 (-41.4 + -13.8y) + -1.7(3y + -5) = 0 Reorder the terms: -41.4 + -13.8y + -1.7(-5 + 3y) = 0 -41.4 + -13.8y + (-5 * -1.7 + 3y * -1.7) = 0 -41.4 + -13.8y + (8.5 + -5.1y) = 0 Reorder the terms: -41.4 + 8.5 + -13.8y + -5.1y = 0 Combine like terms: -41.4 + 8.5 = -32.9 -32.9 + -13.8y + -5.1y = 0 Combine like terms: -13.8y + -5.1y = -18.9y -32.9 + -18.9y = 0 Solving -32.9 + -18.9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32.9' to each side of the equation. -32.9 + 32.9 + -18.9y = 0 + 32.9 Combine like terms: -32.9 + 32.9 = 0.0 0.0 + -18.9y = 0 + 32.9 -18.9y = 0 + 32.9 Combine like terms: 0 + 32.9 = 32.9 -18.9y = 32.9 Divide each side by '-18.9'. y = -1.740740741 Simplifying y = -1.740740741
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