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Simplifying -4(5y + -9) + 2(3y + 6) = 0 Reorder the terms: -4(-9 + 5y) + 2(3y + 6) = 0 (-9 * -4 + 5y * -4) + 2(3y + 6) = 0 (36 + -20y) + 2(3y + 6) = 0 Reorder the terms: 36 + -20y + 2(6 + 3y) = 0 36 + -20y + (6 * 2 + 3y * 2) = 0 36 + -20y + (12 + 6y) = 0 Reorder the terms: 36 + 12 + -20y + 6y = 0 Combine like terms: 36 + 12 = 48 48 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 48 + -14y = 0 Solving 48 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -14y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -14y = 0 + -48 -14y = 0 + -48 Combine like terms: 0 + -48 = -48 -14y = -48 Divide each side by '-14'. y = 3.428571429 Simplifying y = 3.428571429
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