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Simplifying (2 + -3y) * 5 + (8 + -1y)(-4) = 0 Reorder the terms for easier multiplication: 5(2 + -3y) + (8 + -1y)(-4) = 0 (2 * 5 + -3y * 5) + (8 + -1y)(-4) = 0 (10 + -15y) + (8 + -1y)(-4) = 0 Reorder the terms for easier multiplication: 10 + -15y + -4(8 + -1y) = 0 10 + -15y + (8 * -4 + -1y * -4) = 0 10 + -15y + (-32 + 4y) = 0 Reorder the terms: 10 + -32 + -15y + 4y = 0 Combine like terms: 10 + -32 = -22 -22 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y -22 + -11y = 0 Solving -22 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -11y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -11y = 0 + 22 -11y = 0 + 22 Combine like terms: 0 + 22 = 22 -11y = 22 Divide each side by '-11'. y = -2 Simplifying y = -2
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