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Simplifying -4(5y + -9) + 2(4y + 10) = 0 Reorder the terms: -4(-9 + 5y) + 2(4y + 10) = 0 (-9 * -4 + 5y * -4) + 2(4y + 10) = 0 (36 + -20y) + 2(4y + 10) = 0 Reorder the terms: 36 + -20y + 2(10 + 4y) = 0 36 + -20y + (10 * 2 + 4y * 2) = 0 36 + -20y + (20 + 8y) = 0 Reorder the terms: 36 + 20 + -20y + 8y = 0 Combine like terms: 36 + 20 = 56 56 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 56 + -12y = 0 Solving 56 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -12y = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -12y = 0 + -56 -12y = 0 + -56 Combine like terms: 0 + -56 = -56 -12y = -56 Divide each side by '-12'. y = 4.666666667 Simplifying y = 4.666666667
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