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Simplifying 2.6(4.2y + -6.5) = -7.1y + -2.8 Reorder the terms: 2.6(-6.5 + 4.2y) = -7.1y + -2.8 (-6.5 * 2.6 + 4.2y * 2.6) = -7.1y + -2.8 (-16.9 + 10.92y) = -7.1y + -2.8 Reorder the terms: -16.9 + 10.92y = -2.8 + -7.1y Solving -16.9 + 10.92y = -2.8 + -7.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.1y' to each side of the equation. -16.9 + 10.92y + 7.1y = -2.8 + -7.1y + 7.1y Combine like terms: 10.92y + 7.1y = 18.02y -16.9 + 18.02y = -2.8 + -7.1y + 7.1y Combine like terms: -7.1y + 7.1y = 0.0 -16.9 + 18.02y = -2.8 + 0.0 -16.9 + 18.02y = -2.8 Add '16.9' to each side of the equation. -16.9 + 16.9 + 18.02y = -2.8 + 16.9 Combine like terms: -16.9 + 16.9 = 0.0 0.0 + 18.02y = -2.8 + 16.9 18.02y = -2.8 + 16.9 Combine like terms: -2.8 + 16.9 = 14.1 18.02y = 14.1 Divide each side by '18.02'. y = 0.782463929 Simplifying y = 0.782463929
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