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Simplifying 2(4y + -2) + -3(y + -4) = 0 Reorder the terms: 2(-2 + 4y) + -3(y + -4) = 0 (-2 * 2 + 4y * 2) + -3(y + -4) = 0 (-4 + 8y) + -3(y + -4) = 0 Reorder the terms: -4 + 8y + -3(-4 + y) = 0 -4 + 8y + (-4 * -3 + y * -3) = 0 -4 + 8y + (12 + -3y) = 0 Reorder the terms: -4 + 12 + 8y + -3y = 0 Combine like terms: -4 + 12 = 8 8 + 8y + -3y = 0 Combine like terms: 8y + -3y = 5y 8 + 5y = 0 Solving 8 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 0 + -8 5y = 0 + -8 Combine like terms: 0 + -8 = -8 5y = -8 Divide each side by '5'. y = -1.6 Simplifying y = -1.6
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