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Simplifying 6(17.4 + -0.2y) = 2y (17.4 * 6 + -0.2y * 6) = 2y (104.4 + -1.2y) = 2y Solving 104.4 + -1.2y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 104.4 + -1.2y + -2y = 2y + -2y Combine like terms: -1.2y + -2y = -3.2y 104.4 + -3.2y = 2y + -2y Combine like terms: 2y + -2y = 0 104.4 + -3.2y = 0 Add '-104.4' to each side of the equation. 104.4 + -104.4 + -3.2y = 0 + -104.4 Combine like terms: 104.4 + -104.4 = 0.0 0.0 + -3.2y = 0 + -104.4 -3.2y = 0 + -104.4 Combine like terms: 0 + -104.4 = -104.4 -3.2y = -104.4 Divide each side by '-3.2'. y = 32.625 Simplifying y = 32.625
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