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Simplifying 2(3y + -4) + -5(1 + -1y) = 0 Reorder the terms: 2(-4 + 3y) + -5(1 + -1y) = 0 (-4 * 2 + 3y * 2) + -5(1 + -1y) = 0 (-8 + 6y) + -5(1 + -1y) = 0 -8 + 6y + (1 * -5 + -1y * -5) = 0 -8 + 6y + (-5 + 5y) = 0 Reorder the terms: -8 + -5 + 6y + 5y = 0 Combine like terms: -8 + -5 = -13 -13 + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y -13 + 11y = 0 Solving -13 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11y = 0 + 13 11y = 0 + 13 Combine like terms: 0 + 13 = 13 11y = 13 Divide each side by '11'. y = 1.181818182 Simplifying y = 1.181818182
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