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Simplifying -5(4y + -5) + 4(3y + 10) = 0 Reorder the terms: -5(-5 + 4y) + 4(3y + 10) = 0 (-5 * -5 + 4y * -5) + 4(3y + 10) = 0 (25 + -20y) + 4(3y + 10) = 0 Reorder the terms: 25 + -20y + 4(10 + 3y) = 0 25 + -20y + (10 * 4 + 3y * 4) = 0 25 + -20y + (40 + 12y) = 0 Reorder the terms: 25 + 40 + -20y + 12y = 0 Combine like terms: 25 + 40 = 65 65 + -20y + 12y = 0 Combine like terms: -20y + 12y = -8y 65 + -8y = 0 Solving 65 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -8y = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -8y = 0 + -65 -8y = 0 + -65 Combine like terms: 0 + -65 = -65 -8y = -65 Divide each side by '-8'. y = 8.125 Simplifying y = 8.125
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