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Simplifying 2(4y + -3) + -1(4y + 2) = 0 Reorder the terms: 2(-3 + 4y) + -1(4y + 2) = 0 (-3 * 2 + 4y * 2) + -1(4y + 2) = 0 (-6 + 8y) + -1(4y + 2) = 0 Reorder the terms: -6 + 8y + -1(2 + 4y) = 0 -6 + 8y + (2 * -1 + 4y * -1) = 0 -6 + 8y + (-2 + -4y) = 0 Reorder the terms: -6 + -2 + 8y + -4y = 0 Combine like terms: -6 + -2 = -8 -8 + 8y + -4y = 0 Combine like terms: 8y + -4y = 4y -8 + 4y = 0 Solving -8 + 4y = 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 + 4y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 0 + 8 4y = 0 + 8 Combine like terms: 0 + 8 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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