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Simplifying -4(5y + -8) + 2(3y + -6) = 0 Reorder the terms: -4(-8 + 5y) + 2(3y + -6) = 0 (-8 * -4 + 5y * -4) + 2(3y + -6) = 0 (32 + -20y) + 2(3y + -6) = 0 Reorder the terms: 32 + -20y + 2(-6 + 3y) = 0 32 + -20y + (-6 * 2 + 3y * 2) = 0 32 + -20y + (-12 + 6y) = 0 Reorder the terms: 32 + -12 + -20y + 6y = 0 Combine like terms: 32 + -12 = 20 20 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 20 + -14y = 0 Solving 20 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -14y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -14y = 0 + -20 -14y = 0 + -20 Combine like terms: 0 + -20 = -20 -14y = -20 Divide each side by '-14'. y = 1.428571429 Simplifying y = 1.428571429
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