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Simplifying 4(2y + -1) + 3(2 + -3y) = 0 Reorder the terms: 4(-1 + 2y) + 3(2 + -3y) = 0 (-1 * 4 + 2y * 4) + 3(2 + -3y) = 0 (-4 + 8y) + 3(2 + -3y) = 0 -4 + 8y + (2 * 3 + -3y * 3) = 0 -4 + 8y + (6 + -9y) = 0 Reorder the terms: -4 + 6 + 8y + -9y = 0 Combine like terms: -4 + 6 = 2 2 + 8y + -9y = 0 Combine like terms: 8y + -9y = -1y 2 + -1y = 0 Solving 2 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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