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Simplifying -5(3y + -8) + 4(2y + 10) = 0 Reorder the terms: -5(-8 + 3y) + 4(2y + 10) = 0 (-8 * -5 + 3y * -5) + 4(2y + 10) = 0 (40 + -15y) + 4(2y + 10) = 0 Reorder the terms: 40 + -15y + 4(10 + 2y) = 0 40 + -15y + (10 * 4 + 2y * 4) = 0 40 + -15y + (40 + 8y) = 0 Reorder the terms: 40 + 40 + -15y + 8y = 0 Combine like terms: 40 + 40 = 80 80 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 80 + -7y = 0 Solving 80 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -7y = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -7y = 0 + -80 -7y = 0 + -80 Combine like terms: 0 + -80 = -80 -7y = -80 Divide each side by '-7'. y = 11.42857143 Simplifying y = 11.42857143
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