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Simplifying 6.7(y + -16.4) + -31.7 = 4.2(2y + -2.1) Reorder the terms: 6.7(-16.4 + y) + -31.7 = 4.2(2y + -2.1) (-16.4 * 6.7 + y * 6.7) + -31.7 = 4.2(2y + -2.1) (-109.88 + 6.7y) + -31.7 = 4.2(2y + -2.1) Reorder the terms: -109.88 + -31.7 + 6.7y = 4.2(2y + -2.1) Combine like terms: -109.88 + -31.7 = -141.58 -141.58 + 6.7y = 4.2(2y + -2.1) Reorder the terms: -141.58 + 6.7y = 4.2(-2.1 + 2y) -141.58 + 6.7y = (-2.1 * 4.2 + 2y * 4.2) -141.58 + 6.7y = (-8.82 + 8.4y) Solving -141.58 + 6.7y = -8.82 + 8.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8.4y' to each side of the equation. -141.58 + 6.7y + -8.4y = -8.82 + 8.4y + -8.4y Combine like terms: 6.7y + -8.4y = -1.7y -141.58 + -1.7y = -8.82 + 8.4y + -8.4y Combine like terms: 8.4y + -8.4y = 0.0 -141.58 + -1.7y = -8.82 + 0.0 -141.58 + -1.7y = -8.82 Add '141.58' to each side of the equation. -141.58 + 141.58 + -1.7y = -8.82 + 141.58 Combine like terms: -141.58 + 141.58 = 0.00 0.00 + -1.7y = -8.82 + 141.58 -1.7y = -8.82 + 141.58 Combine like terms: -8.82 + 141.58 = 132.76 -1.7y = 132.76 Divide each side by '-1.7'. y = -78.09411765 Simplifying y = -78.09411765
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