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Simplifying -8(2y + 4) + 5(y + 4) = 0 Reorder the terms: -8(4 + 2y) + 5(y + 4) = 0 (4 * -8 + 2y * -8) + 5(y + 4) = 0 (-32 + -16y) + 5(y + 4) = 0 Reorder the terms: -32 + -16y + 5(4 + y) = 0 -32 + -16y + (4 * 5 + y * 5) = 0 -32 + -16y + (20 + 5y) = 0 Reorder the terms: -32 + 20 + -16y + 5y = 0 Combine like terms: -32 + 20 = -12 -12 + -16y + 5y = 0 Combine like terms: -16y + 5y = -11y -12 + -11y = 0 Solving -12 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -11y = 0 + 12 -11y = 0 + 12 Combine like terms: 0 + 12 = 12 -11y = 12 Divide each side by '-11'. y = -1.090909091 Simplifying y = -1.090909091
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