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Simplifying -3(4y + 2) + -10(-8 + -4y) = -9y + -0.09 Reorder the terms: -3(2 + 4y) + -10(-8 + -4y) = -9y + -0.09 (2 * -3 + 4y * -3) + -10(-8 + -4y) = -9y + -0.09 (-6 + -12y) + -10(-8 + -4y) = -9y + -0.09 -6 + -12y + (-8 * -10 + -4y * -10) = -9y + -0.09 -6 + -12y + (80 + 40y) = -9y + -0.09 Reorder the terms: -6 + 80 + -12y + 40y = -9y + -0.09 Combine like terms: -6 + 80 = 74 74 + -12y + 40y = -9y + -0.09 Combine like terms: -12y + 40y = 28y 74 + 28y = -9y + -0.09 Reorder the terms: 74 + 28y = -0.09 + -9y Solving 74 + 28y = -0.09 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 74 + 28y + 9y = -0.09 + -9y + 9y Combine like terms: 28y + 9y = 37y 74 + 37y = -0.09 + -9y + 9y Combine like terms: -9y + 9y = 0 74 + 37y = -0.09 + 0 74 + 37y = -0.09 Add '-74' to each side of the equation. 74 + -74 + 37y = -0.09 + -74 Combine like terms: 74 + -74 = 0 0 + 37y = -0.09 + -74 37y = -0.09 + -74 Combine like terms: -0.09 + -74 = -74.09 37y = -74.09 Divide each side by '37'. y = -2.002432432 Simplifying y = -2.002432432
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