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Simplifying -5(4y + -10) + 4(2y + 10) = 0 Reorder the terms: -5(-10 + 4y) + 4(2y + 10) = 0 (-10 * -5 + 4y * -5) + 4(2y + 10) = 0 (50 + -20y) + 4(2y + 10) = 0 Reorder the terms: 50 + -20y + 4(10 + 2y) = 0 50 + -20y + (10 * 4 + 2y * 4) = 0 50 + -20y + (40 + 8y) = 0 Reorder the terms: 50 + 40 + -20y + 8y = 0 Combine like terms: 50 + 40 = 90 90 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 90 + -12y = 0 Solving 90 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -12y = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -12y = 0 + -90 -12y = 0 + -90 Combine like terms: 0 + -90 = -90 -12y = -90 Divide each side by '-12'. y = 7.5 Simplifying y = 7.5
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