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Simplifying 5(1.8 + 1.4y) + -7(-1.8 + 1.4y) = 6 (1.8 * 5 + 1.4y * 5) + -7(-1.8 + 1.4y) = 6 (9 + 7y) + -7(-1.8 + 1.4y) = 6 9 + 7y + (-1.8 * -7 + 1.4y * -7) = 6 9 + 7y + (12.6 + -9.8y) = 6 Reorder the terms: 9 + 12.6 + 7y + -9.8y = 6 Combine like terms: 9 + 12.6 = 21.6 21.6 + 7y + -9.8y = 6 Combine like terms: 7y + -9.8y = -2.8y 21.6 + -2.8y = 6 Solving 21.6 + -2.8y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21.6' to each side of the equation. 21.6 + -21.6 + -2.8y = 6 + -21.6 Combine like terms: 21.6 + -21.6 = 0.0 0.0 + -2.8y = 6 + -21.6 -2.8y = 6 + -21.6 Combine like terms: 6 + -21.6 = -15.6 -2.8y = -15.6 Divide each side by '-2.8'. y = 5.571428571 Simplifying y = 5.571428571
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