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Simplifying -5(3y + 7) + 4(2y + -8) = 0 Reorder the terms: -5(7 + 3y) + 4(2y + -8) = 0 (7 * -5 + 3y * -5) + 4(2y + -8) = 0 (-35 + -15y) + 4(2y + -8) = 0 Reorder the terms: -35 + -15y + 4(-8 + 2y) = 0 -35 + -15y + (-8 * 4 + 2y * 4) = 0 -35 + -15y + (-32 + 8y) = 0 Reorder the terms: -35 + -32 + -15y + 8y = 0 Combine like terms: -35 + -32 = -67 -67 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y -67 + -7y = 0 Solving -67 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + -7y = 0 + 67 Combine like terms: -67 + 67 = 0 0 + -7y = 0 + 67 -7y = 0 + 67 Combine like terms: 0 + 67 = 67 -7y = 67 Divide each side by '-7'. y = -9.571428571 Simplifying y = -9.571428571
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