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Simplifying 4(4y + -8) + -1(5y + 8) = 0 Reorder the terms: 4(-8 + 4y) + -1(5y + 8) = 0 (-8 * 4 + 4y * 4) + -1(5y + 8) = 0 (-32 + 16y) + -1(5y + 8) = 0 Reorder the terms: -32 + 16y + -1(8 + 5y) = 0 -32 + 16y + (8 * -1 + 5y * -1) = 0 -32 + 16y + (-8 + -5y) = 0 Reorder the terms: -32 + -8 + 16y + -5y = 0 Combine like terms: -32 + -8 = -40 -40 + 16y + -5y = 0 Combine like terms: 16y + -5y = 11y -40 + 11y = 0 Solving -40 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 11y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 11y = 0 + 40 11y = 0 + 40 Combine like terms: 0 + 40 = 40 11y = 40 Divide each side by '11'. y = 3.636363636 Simplifying y = 3.636363636
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