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Simplifying -2(-4y + -3) + -5(-2y + -6) = 0 Reorder the terms: -2(-3 + -4y) + -5(-2y + -6) = 0 (-3 * -2 + -4y * -2) + -5(-2y + -6) = 0 (6 + 8y) + -5(-2y + -6) = 0 Reorder the terms: 6 + 8y + -5(-6 + -2y) = 0 6 + 8y + (-6 * -5 + -2y * -5) = 0 6 + 8y + (30 + 10y) = 0 Reorder the terms: 6 + 30 + 8y + 10y = 0 Combine like terms: 6 + 30 = 36 36 + 8y + 10y = 0 Combine like terms: 8y + 10y = 18y 36 + 18y = 0 Solving 36 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 18y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 18y = 0 + -36 18y = 0 + -36 Combine like terms: 0 + -36 = -36 18y = -36 Divide each side by '18'. y = -2 Simplifying y = -2
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